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55014528 = 273236229
BaseRepresentation
bin1101000111011…
…1010010000000
310211112000202010
43101313102000
5103040431103
65243052520
71235421132
oct321672200
9124460663
1055014528
1129066258
1216511140
13b52299a
147441052
154c6a903
hex3477480

55014528 has 64 divisors (see below), whose sum is σ = 152510400. Its totient is φ = 17538048.

The previous prime is 55014511. The next prime is 55014569. The reversal of 55014528 is 82541055.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 55014495 and 55014504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5718 + ... + 11946.

It is an arithmetic number, because the mean of its divisors is an integer number (2382975).

Almost surely, 255014528 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 55014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76255200).

55014528 is an abundant number, since it is smaller than the sum of its proper divisors (97495872).

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

55014528 is a wasteful number, since it uses less digits than its factorization.

55014528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 55014528 is about 7417.1778999833. The cubic root of 55014528 is about 380.3287275485.

The spelling of 55014528 in words is "fifty-five million, fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 6229 8832 12458 18687 24916 37374 49832 74748 99664 143267 149496 199328 286534 298992 398656 429801 573068 597984 797312 859602 1146136 1195968 1719204 2292272 2391936 3438408 4584544 6876816 9169088 13753632 18338176 27507264 55014528