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61147968 = 263745497
BaseRepresentation
bin1110100101000…
…0101101000000
311021001122020120
43221100231000
5111123213333
610022340240
71341514650
oct351205500
9137048216
1061147968
1131575412
121858a680
13c88c63b
14819a360
15557cdb3
hex3a50b40

61147968 has 56 divisors (see below), whose sum is σ = 184903872. Its totient is φ = 17470464.

The previous prime is 61147967. The next prime is 61147981. The reversal of 61147968 is 86974116.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61147967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21405 + ... + 24092.

Almost surely, 261147968 is an apocalyptic number.

It is an amenable number.

61147968 is an abundant number, since it is smaller than the sum of its proper divisors (123755904).

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

61147968 is a wasteful number, since it uses less digits than its factorization.

61147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45519 (or 45509 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 61147968 is about 7819.7166189063. The cubic root of 61147968 is about 393.9677539810.

The spelling of 61147968 in words is "sixty-one million, one hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 45497 90994 136491 181988 272982 318479 363976 545964 636958 727952 955437 1091928 1273916 1455904 1910874 2183856 2547832 2911808 3821748 4367712 5095664 7643496 8735424 10191328 15286992 20382656 30573984 61147968