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61057456 = 2423831999
BaseRepresentation
bin1110100011101…
…0100110110000
311020220001002021
43220322212300
5111112314311
610020401224
71340660035
oct350724660
9136801067
1061057456
1131513409
1218546214
13c85a395
14817538c
155561171
hex3a3a9b0

61057456 has 40 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 28835136.

The previous prime is 61057439. The next prime is 61057481. The reversal of 61057456 is 65475016.

It is a happy number.

61057456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29545 + ... + 31543.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 261057456 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 61057456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

61057456 is an abundant number, since it is smaller than the sum of its proper divisors (63934544).

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

61057456 is a wasteful number, since it uses less digits than its factorization.

61057456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 61057456 is about 7813.9270536651. The cubic root of 61057456 is about 393.7732726313.

The spelling of 61057456 in words is "sixty-one million, fifty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 83 92 166 184 332 368 664 1328 1909 1999 3818 3998 7636 7996 15272 15992 30544 31984 45977 91954 165917 183908 331834 367816 663668 735632 1327336 2654672 3816091 7632182 15264364 30528728 61057456