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54034976 = 2517711399
BaseRepresentation
bin1100111000100…
…0001000100000
310202200021001102
43032020020200
5102313104401
65210053532
71224201242
oct316101040
9122607042
1054034976
1128557306
121611a2a8
13b26bb78
147268092
154b2556b
hex3388220

54034976 has 48 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 25052160.

The previous prime is 54034963. The next prime is 54034979. The reversal of 54034976 is 67943045.

It is not an unprimeable number, because it can be changed into a prime (54034979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37925 + ... + 39323.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 254034976 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 54034976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

54034976 is an abundant number, since it is smaller than the sum of its proper divisors (60272224).

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

54034976 is a wasteful number, since it uses less digits than its factorization.

54034976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 54034976 is about 7350.8486584884. The cubic root of 54034976 is about 378.0579029091.

The spelling of 54034976 in words is "fifty-four million, thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 272 284 544 568 1136 1207 1399 2272 2414 2798 4828 5596 9656 11192 19312 22384 23783 38624 44768 47566 95132 99329 190264 198658 380528 397316 761056 794632 1589264 1688593 3178528 3377186 6754372 13508744 27017488 54034976