Search a number
-
+
46057452 = 22372293773
BaseRepresentation
bin1010111110110…
…0011111101100
310012122221221120
42233230133230
543242314302
64323100540
71066324200
oct257543754
9105587846
1046057452
1123aa8711
1213511750
139707a3c
14618cb00
15409b9bc
hex2bec7ec

46057452 has 144 divisors (see below), whose sum is σ = 134638560. Its totient is φ = 12192768.

The previous prime is 46057433. The next prime is 46057457. The reversal of 46057452 is 25475064.

It is not an unprimeable number, because it can be changed into a prime (46057457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630888 + ... + 630960.

It is an arithmetic number, because the mean of its divisors is an integer number (934990).

Almost surely, 246057452 is an apocalyptic number.

46057452 is a gapful number since it is divisible by the number (42) 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 46057452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67319280).

46057452 is an abundant number, since it is smaller than the sum of its proper divisors (88581108).

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

46057452 is a wasteful number, since it uses less digits than its factorization.

46057452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 46057452 is about 6786.5640791199. The cubic root of 46057452 is about 358.4538940763.

The spelling of 46057452 in words is "forty-six million, fifty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 49 58 73 74 84 87 98 111 116 146 147 148 174 196 203 219 222 259 292 294 348 406 438 444 511 518 588 609 777 812 876 1022 1036 1073 1218 1421 1533 1554 1813 2044 2117 2146 2436 2701 2842 3066 3108 3219 3577 3626 4234 4263 4292 5402 5439 5684 6132 6351 6438 7154 7252 7511 8103 8468 8526 10731 10804 10878 12702 12876 14308 14819 15022 16206 17052 18907 21462 21756 22533 25404 29638 30044 32412 37814 42924 44457 45066 52577 56721 59276 75628 78329 88914 90132 103733 105154 113442 132349 156658 157731 177828 207466 210308 226884 234987 264698 311199 313316 315462 397047 414932 469974 529396 548303 622398 630924 794094 939948 1096606 1244796 1588188 1644909 2193212 3289818 3838121 6579636 7676242 11514363 15352484 23028726 46057452