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61435044 = 22331151713
BaseRepresentation
bin1110101001011…
…0110010100100
311021121020001000
43222112302210
5111211410134
610032433300
71344121626
oct352266244
9137536030
1061435044
1131751070
12186a8830
13c9601c8
148232c16
1555d7e99
hex3a96ca4

61435044 has 48 divisors (see below), whose sum is σ = 173759040. Its totient is φ = 18616320.

The previous prime is 61435043. The next prime is 61435051. The reversal of 61435044 is 44053416.

61435044 is a `hidden beast` number, since 614 + 3 + 5 + 0 + 44 = 666.

61435044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 61434999 and 61435017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61435043) 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, 24669 + ... + 27044.

It is an arithmetic number, because the mean of its divisors is an integer number (3619980).

Almost surely, 261435044 is an apocalyptic number.

It is an amenable number.

61435044 is an abundant number, since it is smaller than the sum of its proper divisors (112323996).

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

61435044 is a wasteful number, since it uses less digits than its factorization.

61435044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51737 (or 51729 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 61435044 is about 7838.0510332608. The cubic root of 61435044 is about 394.5833217577.

The spelling of 61435044 in words is "sixty-one million, four hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 51713 103426 155139 206852 310278 465417 568843 620556 930834 1137686 1396251 1706529 1861668 2275372 2792502 3413058 5119587 5585004 6826116 10239174 15358761 20478348 30717522 61435044