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61916192 = 251321072
BaseRepresentation
bin1110110000110…
…0010000100000
311022111200001022
43230030100200
5111322304232
610051025012
71351164452
oct354142040
9138450038
1061916192
1131a4a608
121889b168
13ca9b200
14831a2d2
155680812
hex3b0c420

61916192 has 54 divisors (see below), whose sum is σ = 133240653. Its totient is φ = 28309632.

The previous prime is 61916177. The next prime is 61916201. The reversal of 61916192 is 29161916.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 52940176 + 8976016 = 7276^2 + 2996^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5564.

It is a super-2 number, since 2×619161922 = 7667229663561728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 578603 + ... + 578709.

Almost surely, 261916192 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 61916192

61916192 is an abundant number, since it is smaller than the sum of its proper divisors (71324461).

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

61916192 is a wasteful number, since it uses less digits than its factorization.

61916192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 122 counting only the distinct ones).

The product of its digits is 5832, while the sum is 35.

The square root of 61916192 is about 7868.6842610439. The cubic root of 61916192 is about 395.6107456179.

Multiplying 61916192 by its product of digits (5832), we get a square (361095231744 = 6009122).

The spelling of 61916192 in words is "sixty-one million, nine hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 169 208 214 338 416 428 676 856 1352 1391 1712 2704 2782 3424 5408 5564 11128 11449 18083 22256 22898 36166 44512 45796 72332 91592 144664 148837 183184 289328 297674 366368 578656 595348 1190696 1934881 2381392 3869762 4762784 7739524 15479048 30958096 61916192