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30447872 = 287131307
BaseRepresentation
bin111010000100…
…1100100000000
32010021220121222
41310021210000
530243312442
63004334212
7516542210
oct164114400
963256558
1030447872
1116206a34
12a244368
136400ac0
144088240
152a168d2
hex1d09900

30447872 has 72 divisors (see below), whose sum is σ = 74859456. Its totient is φ = 12036096.

The previous prime is 30447863. The next prime is 30447877. The reversal of 30447872 is 27874403.

It is not an unprimeable number, because it can be changed into a prime (30447877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22643 + ... + 23949.

Almost surely, 230447872 is an apocalyptic number.

30447872 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 30447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37429728).

30447872 is an abundant number, since it is smaller than the sum of its proper divisors (44411584).

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

30447872 is a wasteful number, since it uses less digits than its factorization.

30447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 30447872 is about 5517.9590429796. The cubic root of 30447872 is about 312.2618883752.

The spelling of 30447872 in words is "thirty million, four hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1307 1456 1664 1792 2614 2912 3328 5228 5824 9149 10456 11648 16991 18298 20912 23296 33982 36596 41824 67964 73192 83648 118937 135928 146384 167296 237874 271856 292768 334592 475748 543712 585536 951496 1087424 1171072 1902992 2174848 2342144 3805984 4349696 7611968 15223936 30447872