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61672608 = 2532214141
BaseRepresentation
bin1110101101000…
…0110010100000
311022001021220200
43223100302200
5111242010413
610041505200
71346131344
oct353206240
9138037820
1061672608
11318a35a8
12187a2200
13ca1438a
148295624
155633573
hex3ad0ca0

61672608 has 36 divisors (see below), whose sum is σ = 175382298. Its totient is φ = 20557440.

The previous prime is 61672579. The next prime is 61672627. The reversal of 61672608 is 80627616.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52012944 + 9659664 = 7212^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106783 + ... + 107358.

Almost surely, 261672608 is an apocalyptic number.

It is an amenable number.

61672608 is an abundant number, since it is smaller than the sum of its proper divisors (113709690).

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

61672608 is a wasteful number, since it uses less digits than its factorization.

61672608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214157 (or 214146 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 61672608 is about 7853.1909438139. The cubic root of 61672608 is about 395.0912741058.

The spelling of 61672608 in words is "sixty-one million, six hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 214141 428282 642423 856564 1284846 1713128 1927269 2569692 3426256 3854538 5139384 6852512 7709076 10278768 15418152 20557536 30836304 61672608