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431539968 = 2831733053
BaseRepresentation
bin11001101110001…
…100011100000000
31010002000111112210
4121232030130000
51340433234333
6110453222120
713460013006
oct3156143400
91102014483
10431539968
11201658402
12100631940
136b5354c2
1441454a76
1527d43a63
hex19b8c700

431539968 has 72 divisors (see below), whose sum is σ = 1216122768. Its totient is φ = 135380992.

The previous prime is 431539937. The next prime is 431539987. The reversal of 431539968 is 869935134.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3471 + ... + 29582.

It is an arithmetic number, because the mean of its divisors is an integer number (16890594).

Almost surely, 2431539968 is an apocalyptic number.

431539968 is a gapful number since it is divisible by the number (48) 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 431539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608061384).

431539968 is an abundant number, since it is smaller than the sum of its proper divisors (784582800).

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

431539968 is a wasteful number, since it uses less digits than its factorization.

431539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33089 (or 33075 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 431539968 is about 20773.5400931088. The cubic root of 431539968 is about 755.6841994461.

The spelling of 431539968 in words is "four hundred thirty-one million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 33053 66106 99159 132212 198318 264424 396636 528848 561901 793272 1057696 1123802 1586544 1685703 2115392 2247604 3173088 3371406 4230784 4495208 6346176 6742812 8461568 8990416 12692352 13485624 17980832 25384704 26971248 35961664 53942496 71923328 107884992 143846656 215769984 431539968