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47227136 = 281131541
BaseRepresentation
bin1011010000101…
…0000100000000
310021212101110012
42310022010000
544042232021
64404124052
71112265305
oct264120400
9107771405
1047227136
11247274a0
1213996628
139a27268
1463b50ac
15422d35b
hex2d0a100

47227136 has 72 divisors (see below), whose sum is σ = 106353408. Its totient is φ = 20736000.

The previous prime is 47227129. The next prime is 47227153. The reversal of 47227136 is 63172274.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87026 + ... + 87566.

Almost surely, 247227136 is an apocalyptic number.

47227136 is the 3968-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53176704).

47227136 is an abundant number, since it is smaller than the sum of its proper divisors (59126272).

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

47227136 is a wasteful number, since it uses less digits than its factorization.

47227136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 47227136 is about 6872.2002299118. The cubic root of 47227136 is about 361.4630175273.

The spelling of 47227136 in words is "forty-seven million, two hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 541 682 704 992 1082 1364 1408 1984 2164 2728 2816 3968 4328 5456 5951 7936 8656 10912 11902 16771 17312 21824 23804 33542 34624 43648 47608 67084 69248 87296 95216 134168 138496 184481 190432 268336 368962 380864 536672 737924 761728 1073344 1475848 1523456 2146688 2951696 4293376 5903392 11806784 23613568 47227136