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47426368 = 26112329101
BaseRepresentation
bin1011010011101…
…0101101000000
310022020111202011
42310322231000
544120120433
64412302304
71114055203
oct264725500
9108214664
1047426368
1124853150
1213a71994
139a96b52
14642793a
15426c3cd
hex2d3ab40

47426368 has 112 divisors (see below), whose sum is σ = 111922560. Its totient is φ = 19712000.

The previous prime is 47426333. The next prime is 47426387. The reversal of 47426368 is 86362474.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 47426368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469518 + ... + 469618.

Almost surely, 247426368 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 47426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55961280).

47426368 is an abundant number, since it is smaller than the sum of its proper divisors (64496192).

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

47426368 is a wasteful number, since it uses less digits than its factorization.

47426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 47426368 is about 6886.6804775596. The cubic root of 47426368 is about 361.9705927293.

The spelling of 47426368 in words is "forty-seven million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 64 88 92 101 116 176 184 202 232 253 319 352 368 404 464 506 638 667 704 736 808 928 1012 1111 1276 1334 1472 1616 1856 2024 2222 2323 2552 2668 2929 3232 4048 4444 4646 5104 5336 5858 6464 7337 8096 8888 9292 10208 10672 11716 14674 16192 17776 18584 20416 21344 23432 25553 29348 32219 35552 37168 42688 46864 51106 58696 64438 67367 71104 74336 93728 102212 117392 128876 134734 148672 187456 204424 234784 257752 269468 408848 469568 515504 538936 741037 817696 1031008 1077872 1482074 1635392 2062016 2155744 2964148 4311488 5928296 11856592 23713184 47426368