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64231128 = 233213163421
BaseRepresentation
bin1111010100000…
…1011011011000
311110212021112200
43311001123120
5112420344003
610212410200
71406645523
oct365013330
9143767480
1064231128
1133290885
1219616960
13103cbab0
14875dbba
15598b6a3
hex3d416d8

64231128 has 96 divisors (see below), whose sum is σ = 188937840. Its totient is φ = 19595520.

The previous prime is 64231103. The next prime is 64231129. The reversal of 64231128 is 82113246.

64231128 is a `hidden beast` number, since 642 + 3 + 1 + 12 + 8 = 666.

64231128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64231129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152358 + ... + 152778.

Almost surely, 264231128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64231128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94468920).

64231128 is an abundant number, since it is smaller than the sum of its proper divisors (124706712).

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

64231128 is a wasteful number, since it uses less digits than its factorization.

64231128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 64231128 is about 8014.4324814674. The cubic root of 64231128 is about 400.4809381811.

The spelling of 64231128 in words is "sixty-four million, two hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 163 234 312 326 421 468 489 652 842 936 978 1263 1304 1467 1684 1956 2119 2526 2934 3368 3789 3912 4238 5052 5473 5868 6357 7578 8476 10104 10946 11736 12714 15156 16419 16952 19071 21892 25428 30312 32838 38142 43784 49257 50856 65676 68623 76284 98514 131352 137246 152568 197028 205869 274492 394056 411738 548984 617607 823476 892099 1235214 1646952 1784198 2470428 2676297 3568396 4940856 5352594 7136792 8028891 10705188 16057782 21410376 32115564 64231128