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61400457 = 3319119689
BaseRepresentation
bin1110101000111…
…0010110001001
311021112110121000
43222032112021
5111204303312
610032005213
71343616036
oct352162611
9137473530
1061400457
1131728088
1218690809
13c94a541
14822438d
1555ccadc
hex3a8e589

61400457 has 16 divisors (see below), whose sum is σ = 95752000. Its totient is φ = 38778912.

The previous prime is 61400387. The next prime is 61400483. The reversal of 61400457 is 75400416.

61400457 is a `hidden beast` number, since 614 + 0 + 0 + 45 + 7 = 666.

61400457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61400457 - 222 = 57206153 is a prime.

It is a super-2 number, since 2×614004572 = 7540032239617698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61400457.

It is not an unprimeable number, because it can be changed into a prime (61400497) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59332 + ... + 60357.

It is an arithmetic number, because the mean of its divisors is an integer number (5984500).

Almost surely, 261400457 is an apocalyptic number.

It is an amenable number.

61400457 is a deficient number, since it is larger than the sum of its proper divisors (34351543).

61400457 is a wasteful number, since it uses less digits than its factorization.

61400457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119717 (or 119711 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 61400457 is about 7835.8443705832. The cubic root of 61400457 is about 394.5092597112.

The spelling of 61400457 in words is "sixty-one million, four hundred thousand, four hundred fifty-seven".

Divisors: 1 3 9 19 27 57 171 513 119689 359067 1077201 2274091 3231603 6822273 20466819 61400457