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61904256 = 273374357
BaseRepresentation
bin1110110000100…
…1010110000000
311022111001200020
43230021112000
5111321414011
610050453440
71351114611
oct354112600
9138431606
1061904256
1131a41647
1218894280
13ca9594b
148315c08
15567c006
hex3b09580

61904256 has 64 divisors (see below), whose sum is σ = 168916080. Its totient is φ = 20072448.

The previous prime is 61904243. The next prime is 61904257. The reversal of 61904256 is 65240916.

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 (61904257) 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, 12030 + ... + 16386.

Almost surely, 261904256 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 61904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84458040).

61904256 is an abundant number, since it is smaller than the sum of its proper divisors (107011824).

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

61904256 is a wasteful number, since it uses less digits than its factorization.

61904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 61904256 is about 7867.9257749422. The cubic root of 61904256 is about 395.5853224710.

The spelling of 61904256 in words is "sixty-one million, nine hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4357 4736 7104 8714 13071 14208 17428 26142 34856 52284 69712 104568 139424 161209 209136 278848 322418 418272 483627 557696 644836 836544 967254 1289672 1673088 1934508 2579344 3869016 5158688 7738032 10317376 15476064 20634752 30952128 61904256