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61925376 = 211310079
BaseRepresentation
bin1110110000111…
…0100000000000
311022112010122110
43230032200000
5111323103001
610051135320
71351233312
oct354164000
9138463573
1061925376
1131a564a7
12188a4540
13caa2446
14831d7b2
1556833d6
hex3b0e800

61925376 has 48 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 20639744.

The previous prime is 61925333. The next prime is 61925477. The reversal of 61925376 is 67352916.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1105 + ... + 11183.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 261925376 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 61925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

61925376 is an abundant number, since it is smaller than the sum of its proper divisors (103185024).

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

61925376 is a wasteful number, since it uses less digits than its factorization.

61925376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10104 (or 10084 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 61925376 is about 7869.2678185458. The cubic root of 61925376 is about 395.6303049035.

The spelling of 61925376 in words is "sixty-one million, nine hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 10079 20158 30237 40316 60474 80632 120948 161264 241896 322528 483792 645056 967584 1290112 1935168 2580224 3870336 5160448 7740672 10320896 15481344 20641792 30962688 61925376