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54961452 = 223271319883
BaseRepresentation
bin1101000110101…
…0010100101100
310211102022221100
43101222110230
5103032231302
65242003100
71235110320
oct321522454
9124368840
1054961452
112902a397
12164a6490
13b504790
147429980
154c59d1c
hex346a52c

54961452 has 144 divisors (see below), whose sum is σ = 180194560. Its totient is φ = 13716864.

The previous prime is 54961447. The next prime is 54961457. The reversal of 54961452 is 25416945.

54961452 is a `hidden beast` number, since 549 + 61 + 4 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (54961447) and next prime (54961457).

It is a super-2 number, since 2×549614522 = 6041522411896608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54961457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61803 + ... + 62685.

Almost surely, 254961452 is an apocalyptic number.

54961452 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54961452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90097280).

54961452 is an abundant number, since it is smaller than the sum of its proper divisors (125233108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54961452 is a wasteful number, since it uses less digits than its factorization.

54961452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 927 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 54961452 is about 7413.5991259307. The cubic root of 54961452 is about 380.2063791227.

It can be divided in two parts, 549 and 61452, that added together give a square (62001 = 2492).

The spelling of 54961452 in words is "fifty-four million, nine hundred sixty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 883 988 1092 1197 1482 1596 1638 1729 1766 2223 2394 2649 2964 3276 3458 3532 4446 4788 5187 5298 6181 6916 7947 8892 10374 10596 11479 12362 15561 15894 16777 18543 20748 22958 24724 31122 31788 33554 34437 37086 45916 50331 55629 62244 67108 68874 74172 80353 100662 103311 111258 117439 137748 150993 160706 201324 206622 218101 222516 234878 241059 301986 321412 352317 413244 436202 469756 482118 603972 654303 704634 723177 872404 964236 1056951 1308606 1409268 1446354 1526707 1962909 2113902 2617212 2892708 3053414 3925818 4227804 4580121 6106828 7851636 9160242 13740363 18320484 27480726 54961452