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55148352 = 2637371109
BaseRepresentation
bin1101001001011…
…1111101000000
310211202211022120
43102113331000
5103104221402
65250004240
71236516240
oct322277500
9124684276
1055148352
1129147856
1216576680
13b56b87c
147477b20
154c953bc
hex3497f40

55148352 has 112 divisors (see below), whose sum is σ = 171419520. Its totient is φ = 15316992.

The previous prime is 55148351. The next prime is 55148381. The reversal of 55148352 is 25384155.

55148352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55148351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49174 + ... + 50282.

Almost surely, 255148352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85709760).

55148352 is an abundant number, since it is smaller than the sum of its proper divisors (116271168).

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

55148352 is a wasteful number, since it uses less digits than its factorization.

55148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 55148352 is about 7426.1936414290. The cubic root of 55148352 is about 380.6368637187.

The spelling of 55148352 in words is "fifty-five million, one hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1109 1184 1344 1554 1776 2072 2218 2368 3108 3327 3552 4144 4436 6216 6654 7104 7763 8288 8872 12432 13308 15526 16576 17744 23289 24864 26616 31052 35488 41033 46578 49728 53232 62104 70976 82066 93156 106464 123099 124208 164132 186312 212928 246198 248416 287231 328264 372624 492396 496832 574462 656528 745248 861693 984792 1148924 1313056 1490496 1723386 1969584 2297848 2626112 3446772 3939168 4595696 6893544 7878336 9191392 13787088 18382784 27574176 55148352