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47640636 = 2235232131
BaseRepresentation
bin1011010110111…
…1000000111100
310022122101200000
42311233000330
544144000021
64421034300
71115636661
oct265570074
9108571600
1047640636
112498a12a
1213b55990
139b40534
146481a68
1542b0b26
hex2d6f03c

47640636 has 72 divisors (see below), whose sum is σ = 130376064. Its totient is φ = 15182640.

The previous prime is 47640631. The next prime is 47640641. The reversal of 47640636 is 63604674.

47640636 is a `hidden beast` number, since 4 + 7 + 640 + 6 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (47640631) and next prime (47640641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47640636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47640631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21291 + ... + 23421.

Almost surely, 247640636 is an apocalyptic number.

47640636 is a gapful number since it is divisible by the number (46) 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 47640636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65188032).

47640636 is an abundant number, since it is smaller than the sum of its proper divisors (82735428).

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

47640636 is a wasteful number, since it uses less digits than its factorization.

47640636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 47640636 is about 6902.2196429844. The cubic root of 47640636 is about 362.5148905496.

The spelling of 47640636 in words is "forty-seven million, six hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2131 2484 3726 4262 5589 6393 7452 8524 11178 12786 19179 22356 25572 38358 49013 57537 76716 98026 115074 147039 172611 196052 230148 294078 345222 441117 517833 588156 690444 882234 1035666 1323351 1764468 2071332 2646702 3970053 5293404 7940106 11910159 15880212 23820318 47640636