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61246368 = 253423629
BaseRepresentation
bin1110100110100…
…0101110100000
311021020122020000
43221220232200
5111134340433
610024420000
71342404561
oct351505640
9137218200
1061246368
1131632337
1218617600
13c8c5371
1481c4168
15559c113
hex3a68ba0

61246368 has 60 divisors (see below), whose sum is σ = 180131490. Its totient is φ = 20414592.

The previous prime is 61246363. The next prime is 61246369. The reversal of 61246368 is 86364216.

61246368 is a `hidden beast` number, since 6 + 12 + 4 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61027344 + 219024 = 7812^2 + 468^2 .

It is a super-2 number, since 2×612463682 = 7502235186382848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61246363) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9223 + ... + 14406.

Almost surely, 261246368 is an apocalyptic number.

It is an amenable number.

61246368 is an abundant number, since it is smaller than the sum of its proper divisors (118885122).

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

61246368 is a wasteful number, since it uses less digits than its factorization.

61246368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23651 (or 23634 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 61246368 is about 7826.0058778409. The cubic root of 61246368 is about 394.1789665112.

The spelling of 61246368 in words is "sixty-one million, two hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 23629 47258 70887 94516 141774 189032 212661 283548 378064 425322 567096 637983 756128 850644 1134192 1275966 1701288 1913949 2268384 2551932 3402576 3827898 5103864 6805152 7655796 10207728 15311592 20415456 30623184 61246368