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61456401 = 35475381
BaseRepresentation
bin1110101001110…
…0000000010001
311021122022100000
43222130000101
5111213101101
610033120213
71344241116
oct352340021
9137568300
1061456401
1131766116
12186b9069
13c969b46
14823a90d
1555de486
hex3a9c011

61456401 has 24 divisors (see below), whose sum is σ = 94034304. Its totient is φ = 40091760.

The previous prime is 61456397. The next prime is 61456427. The reversal of 61456401 is 10465416.

61456401 is a `hidden beast` number, since 6 + 14 + 5 + 640 + 1 = 666.

It is not a de Polignac number, because 61456401 - 22 = 61456397 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (61456441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8731 + ... + 14111.

It is an arithmetic number, because the mean of its divisors is an integer number (3918096).

Almost surely, 261456401 is an apocalyptic number.

It is an amenable number.

61456401 is a deficient number, since it is larger than the sum of its proper divisors (32577903).

61456401 is an equidigital number, since it uses as much as digits as its factorization.

61456401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61456401 is about 7839.4133071296. The cubic root of 61456401 is about 394.6290401790.

The spelling of 61456401 in words is "sixty-one million, four hundred fifty-six thousand, four hundred one".

Divisors: 1 3 9 27 47 81 141 243 423 1269 3807 5381 11421 16143 48429 145287 252907 435861 758721 1307583 2276163 6828489 20485467 61456401