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5088758904 = 233419974261
BaseRepresentation
bin1001011110101000…
…00100110001111000
3111010122101201220000
410233110010301320
540410210241104
62200541433000
7240050510535
oct45724046170
914118351800
105088758904
112181520979
12ba026b760
13631367958
14363ba7d8c
151ebb3a639
hex12f504c78

5088758904 has 160 divisors (see below), whose sum is σ = 15161638800. Its totient is φ = 1590036480.

The previous prime is 5088758893. The next prime is 5088758921. The reversal of 5088758904 is 4098578805.

5088758904 is a `hidden beast` number, since 50 + 8 + 8 + 7 + 589 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1192134 + ... + 1196394.

Almost surely, 25088758904 is an apocalyptic number.

5088758904 is a gapful number since it is divisible by the number (54) 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 5088758904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580819400).

5088758904 is an abundant number, since it is smaller than the sum of its proper divisors (10072879896).

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

5088758904 is a wasteful number, since it uses less digits than its factorization.

5088758904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5088758904 is about 71335.5374550441. The cubic root of 5088758904 is about 1720.0350299338.

The spelling of 5088758904 in words is "five billion, eighty-eight million, seven hundred fifty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 97 108 114 152 162 171 194 216 228 291 324 342 388 456 513 582 648 684 776 873 1026 1164 1368 1539 1746 1843 2052 2328 2619 3078 3492 3686 4104 4261 5238 5529 6156 6984 7372 7857 8522 10476 11058 12312 12783 14744 15714 16587 17044 20952 22116 25566 31428 33174 34088 38349 44232 49761 51132 62856 66348 76698 80959 99522 102264 115047 132696 149283 153396 161918 199044 230094 242877 298566 306792 323836 345141 398088 413317 460188 485754 597132 647672 690282 728631 826634 920376 971508 1194264 1239951 1380564 1457262 1653268 1943016 2185893 2479902 2761128 2914524 3306536 3719853 4371786 4959804 5829048 6557679 7439706 7853023 8743572 9919608 11159559 13115358 14879412 15706046 17487144 22319118 23559069 26230716 29758824 31412092 33478677 44638236 47118138 52461432 62824184 66957354 70677207 89276472 94236276 133914708 141354414 188472552 212031621 267829416 282708828 424063242 565417656 636094863 848126484 1272189726 1696252968 2544379452 5088758904