Search a number
-
+
1902427956 = 223211132912743
BaseRepresentation
bin111000101100100…
…1011111100110100
311220120202100112200
41301121023330310
512344010143311
6512435344500
765100241122
oct16131137464
94816670480
101902427956
11896964310
12451152130
132441a3a20
1414093a912
15b203c556
hex7164bf34

1902427956 has 144 divisors (see below), whose sum is σ = 5844908160. Its totient is φ = 513757440.

The previous prime is 1902427937. The next prime is 1902427979. The reversal of 1902427956 is 6597242091.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142921 + ... + 155663.

It is an arithmetic number, because the mean of its divisors is an integer number (40589640).

Almost surely, 21902427956 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 1902427956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922454080).

1902427956 is an abundant number, since it is smaller than the sum of its proper divisors (3942480204).

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

1902427956 is a wasteful number, since it uses less digits than its factorization.

1902427956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1902427956 is about 43616.8311091028. The cubic root of 1902427956 is about 1239.0896795987.

The spelling of 1902427956 in words is "one billion, nine hundred two million, four hundred twenty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 44 52 58 66 78 87 99 116 117 132 143 156 174 198 234 261 286 319 348 377 396 429 468 522 572 638 754 858 957 1044 1131 1276 1287 1508 1716 1914 2262 2574 2871 3393 3828 4147 4524 5148 5742 6786 8294 11484 12441 12743 13572 16588 24882 25486 37323 38229 49764 50972 74646 76458 114687 140173 149292 152916 165659 229374 280346 331318 369547 420519 458748 496977 560692 662636 739094 841038 993954 1108641 1261557 1478188 1490931 1682076 1822249 1987908 2217282 2523114 2981862 3325923 3644498 4065017 4434564 4804111 5046228 5466747 5963724 6651846 7288996 8130034 9608222 10933494 12195051 13303692 14412333 16260068 16400241 19216444 21866988 24390102 28824666 32800482 36585153 43236999 48780204 52845221 57649332 65600964 73170306 86473998 105690442 146340612 158535663 172947996 211380884 317071326 475606989 634142652 951213978 1902427956