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272046632 = 231113397599
BaseRepresentation
bin10000001101110…
…001101000101000
3200221220101211012
4100031301220220
51024120443012
642554523052
76512233604
oct2015615050
9627811735
10272046632
1112a621730
1277136488
1344491550
14281b8504
1518d3b622
hex10371a28

272046632 has 64 divisors (see below), whose sum is σ = 601776000. Its totient is φ = 113667840.

The previous prime is 272046629. The next prime is 272046659. The reversal of 272046632 is 236640272.

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, 453869 + ... + 454467.

It is an arithmetic number, because the mean of its divisors is an integer number (9402750).

Almost surely, 2272046632 is an apocalyptic number.

272046632 is a gapful number since it is divisible by the number (22) 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 272046632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300888000).

272046632 is an abundant number, since it is smaller than the sum of its proper divisors (329729368).

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

272046632 is a wasteful number, since it uses less digits than its factorization.

272046632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 272046632 is about 16493.8361820409. The cubic root of 272046632 is about 647.9593849970.

The spelling of 272046632 in words is "two hundred seventy-two million, forty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 397 572 599 794 1144 1198 1588 2396 3176 4367 4792 5161 6589 7787 8734 10322 13178 15574 17468 20644 26356 31148 34936 41288 52712 56771 62296 85657 113542 171314 227084 237803 342628 454168 475606 685256 951212 1902424 2615833 3091439 5231666 6182878 10463332 12365756 20926664 24731512 34005829 68011658 136023316 272046632