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30053632 = 28731541
BaseRepresentation
bin111001010100…
…1010100000000
32002112212211111
41302221110000
530143204012
62552053104
7513310630
oct162512400
962485744
1030053632
1115a67814
12a094194
1362c351b
143dc46c0
152989ba7
hex1ca9500

30053632 has 72 divisors (see below), whose sum is σ = 70902272. Its totient is φ = 12441600.

The previous prime is 30053623. The next prime is 30053693. The reversal of 30053632 is 23635003.

It is a congruent number.

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, 55282 + ... + 55822.

Almost surely, 230053632 is an apocalyptic number.

30053632 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 30053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35451136).

30053632 is an abundant number, since it is smaller than the sum of its proper divisors (40848640).

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

30053632 is an equidigital number, since it uses as much as digits as its factorization.

30053632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 30053632 is about 5482.1192982276. The cubic root of 30053632 is about 310.9083038014.

Adding to 30053632 its reverse (23635003), we get a palindrome (53688635).

The spelling of 30053632 in words is "thirty million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 541 868 896 992 1082 1736 1792 1984 2164 3472 3787 3968 4328 6944 7574 7936 8656 13888 15148 16771 17312 27776 30296 33542 34624 55552 60592 67084 69248 117397 121184 134168 138496 234794 242368 268336 469588 484736 536672 939176 969472 1073344 1878352 2146688 3756704 4293376 7513408 15026816 30053632