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61356657 = 3314367229
BaseRepresentation
bin1110101000001…
…1101001110001
311021110020111210
43222003221301
5111201403112
610031030333
71343344245
oct352035161
9137406453
1061356657
11316a818a
121866b3a9
13c93361b
148212425
1555beb3c
hex3a83a71

61356657 has 32 divisors (see below), whose sum is σ = 88084480. Its totient is φ = 37920960.

The previous prime is 61356653. The next prime is 61356661. The reversal of 61356657 is 75665316.

61356657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61356653) and next prime (61356661).

It is not a de Polignac number, because 61356657 - 22 = 61356653 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61356653) 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 31 ways as a sum of consecutive naturals, for example, 267819 + ... + 268047.

It is an arithmetic number, because the mean of its divisors is an integer number (2752640).

Almost surely, 261356657 is an apocalyptic number.

61356657 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

61356657 is a deficient number, since it is larger than the sum of its proper divisors (26727823).

61356657 is a wasteful number, since it uses less digits than its factorization.

61356657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373.

The product of its digits is 113400, while the sum is 39.

The square root of 61356657 is about 7833.0490232093. The cubic root of 61356657 is about 394.4154297040.

The spelling of 61356657 in words is "sixty-one million, three hundred fifty-six thousand, six hundred fifty-seven".

Divisors: 1 3 31 43 67 93 129 201 229 687 1333 2077 2881 3999 6231 7099 8643 9847 15343 21297 29541 46029 89311 267933 305257 475633 659749 915771 1426899 1979247 20452219 61356657