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30492576 = 2532239443
BaseRepresentation
bin111010001010…
…0011110100000
32010101011221200
41310110132200
530301230301
63005321200
7520116432
oct164243640
963334850
1030492576
1116237584
12a266200
13641825a
14409a652
152a24c86
hex1d147a0

30492576 has 72 divisors (see below), whose sum is σ = 87272640. Its totient is φ = 10098816.

The previous prime is 30492563. The next prime is 30492593. The reversal of 30492576 is 67529403.

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

It is a super-2 number, since 2×304925762 = 1859594382231552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30492576.

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 11 ways as a sum of consecutive naturals, for example, 68611 + ... + 69053.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 230492576 is an apocalyptic number.

30492576 is a gapful number since it is divisible by the number (36) 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 30492576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43636320).

30492576 is an abundant number, since it is smaller than the sum of its proper divisors (56780064).

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

30492576 is a wasteful number, since it uses less digits than its factorization.

30492576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 30492576 is about 5522.0083303088. The cubic root of 30492576 is about 312.4146360971.

It can be divided in two parts, 3049 and 2576, that added together give a square (5625 = 752).

The spelling of 30492576 in words is "thirty million, four hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 239 288 443 478 717 886 956 1329 1434 1772 1912 2151 2658 2868 3544 3824 3987 4302 5316 5736 7088 7648 7974 8604 10632 11472 14176 15948 17208 21264 22944 31896 34416 42528 63792 68832 105877 127584 211754 317631 423508 635262 847016 952893 1270524 1694032 1905786 2541048 3388064 3811572 5082096 7623144 10164192 15246288 30492576