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30639552 = 2631937227
BaseRepresentation
bin111010011100…
…0010111000000
32010122122120020
41310320113000
530320431202
63012413440
7521301066
oct164702700
963578506
1030639552
1116327a49
12a317280
13646a118
1440d8036
152a535bc
hex1d385c0

30639552 has 112 divisors (see below), whose sum is σ = 88026240. Its totient is φ = 9372672.

The previous prime is 30639547. The next prime is 30639577. The reversal of 30639552 is 25593603.

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 15 ways as a sum of consecutive naturals, for example, 134863 + ... + 135089.

Almost surely, 230639552 is an apocalyptic number.

30639552 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 30639552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44013120).

30639552 is an abundant number, since it is smaller than the sum of its proper divisors (57386688).

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

30639552 is a wasteful number, since it uses less digits than its factorization.

30639552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 30639552 is about 5535.3005338464. The cubic root of 30639552 is about 312.9157840436.

The spelling of 30639552 in words is "thirty million, six hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 192 222 227 228 296 304 444 454 456 592 608 681 703 888 908 912 1184 1216 1362 1406 1776 1816 1824 2109 2368 2724 2812 3552 3632 3648 4218 4313 5448 5624 7104 7264 8399 8436 8626 10896 11248 12939 14528 16798 16872 17252 21792 22496 25197 25878 33596 33744 34504 43584 44992 50394 51756 67192 67488 69008 100788 103512 134384 134976 138016 159581 201576 207024 268768 276032 319162 403152 414048 478743 537536 638324 806304 828096 957486 1276648 1612608 1914972 2553296 3829944 5106592 7659888 10213184 15319776 30639552