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47907072 = 283329239
BaseRepresentation
bin1011011011000…
…0000100000000
310100010221011000
42312300010000
544231011242
64430452000
71121126523
oct266600400
9110127130
1047907072
1125051324
1214064000
139c048a5
146510bba
154314a4c
hex2db0100

47907072 has 144 divisors (see below), whose sum is σ = 147168000. Its totient is φ = 15353856.

The previous prime is 47907049. The next prime is 47907103. The reversal of 47907072 is 27070974.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×479070722 = 4590175095226368, which contains 22 as substring.

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

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, 200329 + ... + 200567.

It is an arithmetic number, because the mean of its divisors is an integer number (1022000).

Almost surely, 247907072 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 47907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584000).

47907072 is an abundant number, since it is smaller than the sum of its proper divisors (99260928).

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

47907072 is a wasteful number, since it uses less digits than its factorization.

47907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 47907072 is about 6921.4934804564. The cubic root of 47907072 is about 363.1894373558.

The spelling of 47907072 in words is "forty-seven million, nine hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 239 256 261 288 348 384 432 464 478 522 576 696 717 768 783 864 928 956 1044 1152 1392 1434 1566 1728 1856 1912 2088 2151 2304 2784 2868 3132 3456 3712 3824 4176 4302 5568 5736 6264 6453 6912 6931 7424 7648 8352 8604 11136 11472 12528 12906 13862 15296 16704 17208 20793 22272 22944 25056 25812 27724 30592 33408 34416 41586 45888 50112 51624 55448 61184 62379 66816 68832 83172 91776 100224 103248 110896 124758 137664 166344 183552 187137 200448 206496 221792 249516 275328 332688 374274 412992 443584 499032 550656 665376 748548 825984 887168 998064 1330752 1497096 1651968 1774336 1996128 2661504 2994192 3992256 5323008 5988384 7984512 11976768 15969024 23953536 47907072