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47825964 = 22341719457
BaseRepresentation
bin1011011001110…
…0010000101100
310022222210220000
42312130100230
544220412324
64425024300
71120341204
oct266342054
9108883800
1047825964
1124aa639a
1214025090
139ba69b4
1464cd404
1542ea9c9
hex2d9c42c

47825964 has 120 divisors (see below), whose sum is σ = 139653360. Its totient is φ = 14183424.

The previous prime is 47825951. The next prime is 47825971. The reversal of 47825964 is 46952874.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104424 + ... + 104880.

It is an arithmetic number, because the mean of its divisors is an integer number (1163778).

Almost surely, 247825964 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 47825964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69826680).

47825964 is an abundant number, since it is smaller than the sum of its proper divisors (91827396).

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

47825964 is a wasteful number, since it uses less digits than its factorization.

47825964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 47825964 is about 6915.6318583337. The cubic root of 47825964 is about 362.9843583179.

The spelling of 47825964 in words is "forty-seven million, eight hundred twenty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 457 459 513 612 646 684 914 918 969 1026 1292 1371 1377 1539 1828 1836 1938 2052 2742 2754 2907 3078 3876 4113 5484 5508 5814 6156 7769 8226 8683 8721 11628 12339 15538 16452 17366 17442 23307 24678 26049 26163 31076 34732 34884 37017 46614 49356 52098 52326 69921 74034 78147 93228 104196 104652 139842 147611 148068 156294 209763 234441 279684 295222 312588 419526 442833 468882 590444 629289 703323 839052 885666 937764 1258578 1328499 1406646 1771332 2517156 2656998 2813292 3985497 5313996 7970994 11956491 15941988 23912982 47825964