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55419264 = 273273659
BaseRepresentation
bin1101001101101…
…0000110000000
310212021120221100
43103122012000
5103141404024
65255454400
71242025125
oct323320600
9125246840
1055419264
112931234a
1216687400
13b634c84
14750874c
154cea7c9
hex34da180

55419264 has 96 divisors (see below), whose sum is σ = 161904600. Its totient is φ = 18192384.

The previous prime is 55419241. The next prime is 55419277. The reversal of 55419264 is 46291455.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83767 + ... + 84425.

Almost surely, 255419264 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 55419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80952300).

55419264 is an abundant number, since it is smaller than the sum of its proper divisors (106485336).

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

55419264 is a wasteful number, since it uses less digits than its factorization.

55419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

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

The square root of 55419264 is about 7444.4115952841. The cubic root of 55419264 is about 381.2591289044.

The spelling of 55419264 in words is "fifty-five million, four hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 659 876 1152 1168 1314 1318 1752 1977 2336 2628 2636 3504 3954 4672 5256 5272 5931 7008 7908 9344 10512 10544 11862 14016 15816 21024 21088 23724 28032 31632 42048 42176 47448 48107 63264 84096 84352 94896 96214 126528 144321 189792 192428 253056 288642 379584 384856 432963 577284 759168 769712 865926 1154568 1539424 1731852 2309136 3078848 3463704 4618272 6157696 6927408 9236544 13854816 18473088 27709632 55419264