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30922752 = 21137719
BaseRepresentation
bin111010111110…
…1100000000000
32011012001001010
41311331200000
530404012002
63022440520
7523560540
oct165754000
964161033
1030922752
11165007a3
12a433140
136538cb3
14416d320
152aac46c
hex1d7d800

30922752 has 96 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 8822784.

The previous prime is 30922699. The next prime is 30922769. The reversal of 30922752 is 25722903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 42649 + ... + 43367.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 230922752 is an apocalyptic number.

30922752 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 30922752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

30922752 is an abundant number, since it is smaller than the sum of its proper divisors (63426048).

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

30922752 is an equidigital number, since it uses as much as digits as its factorization.

30922752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 30922752 is about 5560.8229606777. The cubic root of 30922752 is about 313.8769176953.

The spelling of 30922752 in words is "thirty million, nine hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 719 768 896 1024 1344 1438 1536 1792 2048 2157 2688 2876 3072 3584 4314 5033 5376 5752 6144 7168 8628 10066 10752 11504 14336 15099 17256 20132 21504 23008 30198 34512 40264 43008 46016 60396 69024 80528 92032 120792 138048 161056 184064 241584 276096 322112 368128 483168 552192 644224 736256 966336 1104384 1288448 1472512 1932672 2208768 2576896 3865344 4417536 5153792 7730688 10307584 15461376 30922752