Search a number
-
+
47907972 = 223271753211
BaseRepresentation
bin1011011011000…
…0010010000100
310100010222101100
42312300102010
544231023342
64430500100
71121132250
oct266602204
9110128340
1047907972
1125051a72
1214064630
139c05118
146511260
154314e4c
hex2db0484

47907972 has 144 divisors (see below), whose sum is σ = 150014592. Its totient is φ = 12579840.

The previous prime is 47907961. The next prime is 47907983. The reversal of 47907972 is 27970974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47907961) and next prime (47907983).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226947 + ... + 227157.

It is an arithmetic number, because the mean of its divisors is an integer number (1041768).

Almost surely, 247907972 is an apocalyptic number.

47907972 is a gapful number since it is divisible by the number (42) 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 47907972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75007296).

47907972 is an abundant number, since it is smaller than the sum of its proper divisors (102106620).

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

47907972 is a wasteful number, since it uses less digits than its factorization.

47907972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 47907972 is about 6921.5584950212. The cubic root of 47907972 is about 363.1917116786.

The spelling of 47907972 in words is "forty-seven million, nine hundred seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 53 63 68 84 102 106 119 126 153 159 204 211 212 238 252 306 318 357 371 422 476 477 612 633 636 714 742 844 901 954 1071 1113 1266 1428 1477 1484 1802 1899 1908 2142 2226 2532 2703 2954 3339 3587 3604 3798 4284 4431 4452 5406 5908 6307 6678 7174 7596 8109 8862 10761 10812 11183 12614 13293 13356 14348 16218 17724 18921 21522 22366 25109 25228 26586 32283 32436 33549 37842 43044 44732 50218 53172 56763 64566 67098 75327 75684 78281 100436 100647 113526 129132 134196 150654 156562 190111 201294 225981 227052 234843 301308 313124 380222 402588 451962 469686 570333 704529 760444 903924 939372 1140666 1330777 1409058 1710999 2281332 2661554 2818116 3421998 3992331 5323108 6843996 7984662 11976993 15969324 23953986 47907972