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30890272 = 257239577
BaseRepresentation
bin111010111010…
…1100100100000
32011010101111011
41311311210200
530401442042
63022030304
7523364050
oct165654440
964111434
1030890272
1116489356
12a418394
13652728a
144161560
152aa2a17
hex1d75920

30890272 has 48 divisors (see below), whose sum is σ = 69914880. Its totient is φ = 13160448.

The previous prime is 30890213. The next prime is 30890281. The reversal of 30890272 is 27209803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53248 + ... + 53824.

It is an arithmetic number, because the mean of its divisors is an integer number (1456560).

Almost surely, 230890272 is an apocalyptic number.

30890272 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 30890272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957440).

30890272 is an abundant number, since it is smaller than the sum of its proper divisors (39024608).

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

30890272 is a wasteful number, since it uses less digits than its factorization.

30890272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 30890272 is about 5557.9017623560. The cubic root of 30890272 is about 313.7669846839.

The spelling of 30890272 in words is "thirty million, eight hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 577 956 1154 1673 1912 2308 3346 3824 4039 4616 6692 7648 8078 9232 13384 16156 18464 26768 32312 53536 64624 129248 137903 275806 551612 965321 1103224 1930642 2206448 3861284 4412896 7722568 15445136 30890272