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55433376 = 253383773
BaseRepresentation
bin1101001101110…
…1100010100000
310212022022022000
43103131202200
5103142332001
65300044000
71242114225
oct323354240
9125268260
1055433376
1129321a09
1216693600
13b63b51b
14750d94c
154ceea86
hex34dd8a0

55433376 has 96 divisors (see below), whose sum is σ = 163840320. Its totient is φ = 18231552.

The previous prime is 55433347. The next prime is 55433377. The reversal of 55433376 is 67333455.

55433376 is a `hidden beast` number, since 554 + 3 + 33 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 55433376.

It is not an unprimeable number, because it can be changed into a prime (55433377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71326 + ... + 72098.

It is an arithmetic number, because the mean of its divisors is an integer number (1706670).

Almost surely, 255433376 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 55433376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81920160).

55433376 is an abundant number, since it is smaller than the sum of its proper divisors (108406944).

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

55433376 is a wasteful number, since it uses less digits than its factorization.

55433376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 861 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 55433376 is about 7445.3593600309. The cubic root of 55433376 is about 381.2914875214.

It can be divided in two parts, 554 and 33376, that added together give a triangular number (33930 = T260).

The spelling of 55433376 in words is "fifty-five million, four hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 773 864 996 1328 1494 1546 1992 2241 2319 2656 2988 3092 3984 4482 4638 5976 6184 6957 7968 8964 9276 11952 12368 13914 17928 18552 20871 23904 24736 27828 35856 37104 41742 55656 64159 71712 74208 83484 111312 128318 166968 192477 222624 256636 333936 384954 513272 577431 667872 769908 1026544 1154862 1539816 1732293 2053088 2309724 3079632 3464586 4619448 6159264 6929172 9238896 13858344 18477792 27716688 55433376