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152142564 = 22379371933
BaseRepresentation
bin10010001000110…
…00001011100100
3101121021122100210
421010120023210
5302422030224
623032535420
73525122220
oct1104301344
9347248323
10152142564
1178975a62
1242b51570
132569c1b2
14162c5780
15d554429
hex91182e4

152142564 has 48 divisors (see below), whose sum is σ = 406356608. Its totient is φ = 43400448.

The previous prime is 152142553. The next prime is 152142581. The reversal of 152142564 is 465241251.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77742 + ... + 79674.

Almost surely, 2152142564 is an apocalyptic number.

152142564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152142564 is an abundant number, since it is smaller than the sum of its proper divisors (254214044).

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

152142564 is a wasteful number, since it uses less digits than its factorization.

152142564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2882 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 152142564 is about 12334.6083845414. The cubic root of 152142564 is about 533.8471276131.

The spelling of 152142564 in words is "one hundred fifty-two million, one hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 937 1874 1933 2811 3748 3866 5622 5799 6559 7732 11244 11598 13118 13531 19677 23196 26236 27062 39354 40593 54124 78708 81186 162372 1811221 3622442 5433663 7244884 10867326 12678547 21734652 25357094 38035641 50714188 76071282 152142564