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47375808 = 2632271087
BaseRepresentation
bin1011010010111…
…0010111000000
310022010221101120
42310232113000
544112011213
64411232240
71113454614
oct264562700
9108127346
1047375808
1124819167
1213a48680
139a79b2c
146413344
15425c423
hex2d2e5c0

47375808 has 56 divisors (see below), whose sum is σ = 126016512. Its totient is φ = 15707904.

The previous prime is 47375807. The next prime is 47375893. The reversal of 47375808 is 80857374.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47375808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47375807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43041 + ... + 44127.

Almost surely, 247375808 is an apocalyptic number.

47375808 is a gapful number since it is divisible by the number (48) 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 47375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63008256).

47375808 is an abundant number, since it is smaller than the sum of its proper divisors (78640704).

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

47375808 is a wasteful number, since it uses less digits than its factorization.

47375808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 47375808 is about 6883.0086444810. The cubic root of 47375808 is about 361.8419178924.

The spelling of 47375808 in words is "forty-seven million, three hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1087 1362 1816 2174 2724 3261 3632 4348 5448 6522 7264 8696 10896 13044 14528 17392 21792 26088 34784 43584 52176 69568 104352 208704 246749 493498 740247 986996 1480494 1973992 2960988 3947984 5921976 7895968 11843952 15791936 23687904 47375808