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47585272 = 2372196389
BaseRepresentation
bin1011010110000…
…1011111111000
310022112120201111
42311201133320
544140212042
64415530104
71115316400
oct265413770
9108476644
1047585272
1124951579
1213b29934
139b21287
146469800
15429e517
hex2d617f8

47585272 has 48 divisors (see below), whose sum is σ = 109269000. Its totient is φ = 19317312.

The previous prime is 47585243. The next prime is 47585273. The reversal of 47585272 is 27258574.

It is a happy number.

It is a super-2 number, since 2×475852722 = 4528716222627968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47585273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4254 + ... + 10642.

Almost surely, 247585272 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 47585272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54634500).

47585272 is an abundant number, since it is smaller than the sum of its proper divisors (61683728).

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

47585272 is a wasteful number, since it uses less digits than its factorization.

47585272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6417 counting only the distinct ones).

The product of its digits is 156800, while the sum is 40.

The square root of 47585272 is about 6898.2078832114. The cubic root of 47585272 is about 362.3744078597.

The spelling of 47585272 in words is "forty-seven million, five hundred eighty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 6389 7448 12778 25556 44723 51112 89446 121391 178892 242782 313061 357784 485564 626122 849737 971128 1252244 1699474 2504488 3398948 5948159 6797896 11896318 23792636 47585272