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55836672 = 218371
BaseRepresentation
bin1101010100000…
…0000000000000
310220001210111220
43111000000000
5103243233142
65312435040
71245414063
oct325000000
9126053456
1055836672
1129577a11
1216848a80
13b74cc68
1475b68da
154d7e2ec
hex3540000

55836672 has 76 divisors (see below), whose sum is σ = 150994656. Its totient is φ = 18350080.

The previous prime is 55836659. The next prime is 55836689. The reversal of 55836672 is 27663855.

It is a nialpdrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786397 + ... + 786467.

Almost surely, 255836672 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 55836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497328).

55836672 is an abundant number, since it is smaller than the sum of its proper divisors (95157984).

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

55836672 is an frugal number, since it uses more digits than its factorization.

55836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 55836672 is about 7472.3939938951. The cubic root of 55836672 is about 382.2139276689.

The spelling of 55836672 in words is "fifty-five million, eight hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1536 1704 2048 2272 3072 3408 4096 4544 6144 6816 8192 9088 12288 13632 16384 18176 24576 27264 32768 36352 49152 54528 65536 72704 98304 109056 131072 145408 196608 218112 262144 290816 393216 436224 581632 786432 872448 1163264 1744896 2326528 3489792 4653056 6979584 9306112 13959168 18612224 27918336 55836672