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61397037 = 32131971389
BaseRepresentation
bin1110101000110…
…1100000101101
311021112021220100
43222031200231
5111204201122
610031541313
71343603052
oct352154055
9137467810
1061397037
1131725559
121868a839
13c948b10
148223029
1555cbaac
hex3a8d82d

61397037 has 48 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 35199360.

The previous prime is 61397033. The next prime is 61397057. The reversal of 61397037 is 73079316.

61397037 is a `hidden beast` number, since 613 + 9 + 7 + 0 + 37 = 666.

61397037 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 61397037 - 22 = 61397033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61396992 and 61397010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61397033) 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 47 ways as a sum of consecutive naturals, for example, 157639 + ... + 158027.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 261397037 is an apocalyptic number.

It is an amenable number.

61397037 is a deficient number, since it is larger than the sum of its proper divisors (40814163).

61397037 is a wasteful number, since it uses less digits than its factorization.

61397037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 61397037 is about 7835.6261396266. The cubic root of 61397037 is about 394.5019348650.

The spelling of 61397037 in words is "sixty-one million, three hundred ninety-seven thousand, thirty-seven".

Divisors: 1 3 9 13 19 39 57 71 117 171 213 247 389 639 741 923 1167 1349 2223 2769 3501 4047 5057 7391 8307 12141 15171 17537 22173 27619 45513 52611 66519 82857 96083 157833 248571 288249 359047 524761 864747 1077141 1574283 3231423 4722849 6821893 20465679 61397037