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372029472 = 25325324373
BaseRepresentation
bin10110001011001…
…011100000100000
3221221001001111100
4112023023200200
51230214420342
6100525514400
712135125013
oct2613134040
9857031440
10372029472
11181001281
12a4712a00
135c0ca2a9
14375a337a
15229dae4c
hex162cb820

372029472 has 72 divisors (see below), whose sum is σ = 1077964524. Its totient is φ = 121665024.

The previous prime is 372029467. The next prime is 372029473. The reversal of 372029472 is 274920273.

It can be written as a sum of positive squares in 2 ways, for example, as 371872656 + 156816 = 19284^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (372029473) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3078 + ... + 27450.

Almost surely, 2372029472 is an apocalyptic number.

372029472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538982262).

372029472 is an abundant number, since it is smaller than the sum of its proper divisors (705935052).

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

372029472 is a wasteful number, since it uses less digits than its factorization.

372029472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24442 (or 24431 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 372029472 is about 19288.0655328625. The cubic root of 372029472 is about 719.2156272910.

The spelling of 372029472 in words is "three hundred seventy-two million, twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 24373 48746 73119 97492 146238 194984 219357 292476 389968 438714 584952 779936 877428 1169904 1291769 1754856 2339808 2583538 3509712 3875307 5167076 7019424 7750614 10334152 11625921 15501228 20668304 23251842 31002456 41336608 46503684 62004912 93007368 124009824 186014736 372029472