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54070656 = 273197411
BaseRepresentation
bin1100111001000…
…0110110000000
310202202001222220
43032100312000
5102320230111
65210531040
71224410253
oct316206600
9122661886
1054070656
11285810a2
1216136a80
13b282193
14727709a
154b30e06
hex3390d80

54070656 has 64 divisors (see below), whose sum is σ = 151204800. Its totient is φ = 17072640.

The previous prime is 54070607. The next prime is 54070657. The reversal of 54070656 is 65607045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54070657) 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, 3591 + ... + 11001.

It is an arithmetic number, because the mean of its divisors is an integer number (2362575).

Almost surely, 254070656 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 54070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75602400).

54070656 is an abundant number, since it is smaller than the sum of its proper divisors (97134144).

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

54070656 is a wasteful number, since it uses less digits than its factorization.

54070656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 54070656 is about 7353.2751886489. The cubic root of 54070656 is about 378.1410967899.

The spelling of 54070656 in words is "fifty-four million, seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 7411 14822 22233 29644 44466 59288 88932 118576 140809 177864 237152 281618 355728 422427 474304 563236 711456 844854 948608 1126472 1422912 1689708 2252944 2845824 3379416 4505888 6758832 9011776 13517664 18023552 27035328 54070656