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61619968 = 281714159
BaseRepresentation
bin1110101100001…
…1111100000000
311021221121201001
43223003330000
5111233314333
610040421344
71345522024
oct353037400
9137847631
1061619968
1131867aa3
1218777854
13c9c6427
148280384
155622b7d
hex3ac3f00

61619968 has 36 divisors (see below), whose sum is σ = 130243680. Its totient is φ = 28995584.

The previous prime is 61619963. The next prime is 61619969. The reversal of 61619968 is 86991616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61619963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2728 + ... + 11431.

It is an arithmetic number, because the mean of its divisors is an integer number (3617880).

Almost surely, 261619968 is an apocalyptic number.

61619968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

61619968 is an abundant number, since it is smaller than the sum of its proper divisors (68623712).

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

61619968 is a wasteful number, since it uses less digits than its factorization.

61619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14192 (or 14178 counting only the distinct ones).

The product of its digits is 139968, while the sum is 46.

The square root of 61619968 is about 7849.8387244580. The cubic root of 61619968 is about 394.9788334543.

It can be divided in two parts, 6161 and 9968, that added together give a square (16129 = 1272).

The spelling of 61619968 in words is "sixty-one million, six hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 14159 28318 56636 113272 226544 240703 453088 481406 906176 962812 1812352 1925624 3624704 3851248 7702496 15404992 30809984 61619968