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5904463136 = 2511213412861
BaseRepresentation
bin1010111111110111…
…01111010100100000
3120020111021210201212
411133323233110200
544043020310021
62413521045252
7266214052145
oct53773572440
916214253655
105904463136
11255aa08600
121189486828
13731358890
144002603cc
1524856585b
hex15feef520

5904463136 has 144 divisors (see below), whose sum is σ = 14100650424. Its totient is φ = 2416128000.

The previous prime is 5904463087. The next prime is 5904463139. The reversal of 5904463136 is 6313644095.

It can be written as a sum of positive squares in 4 ways, for example, as 2627587600 + 3276875536 = 51260^2 + 57244^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 5904463093 and 5904463102.

It is not an unprimeable number, because it can be changed into a prime (5904463139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2062346 + ... + 2065206.

Almost surely, 25904463136 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 5904463136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050325212).

5904463136 is an abundant number, since it is smaller than the sum of its proper divisors (8196187288).

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

5904463136 is a wasteful number, since it uses less digits than its factorization.

5904463136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 5904463136 is about 76840.5045272349. The cubic root of 5904463136 is about 1807.4243899485.

The spelling of 5904463136 in words is "five billion, nine hundred four million, four hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 82 88 104 121 143 164 176 208 242 286 328 352 416 451 484 533 572 656 902 968 1066 1144 1312 1573 1804 1936 2132 2288 2861 3146 3608 3872 4264 4576 4961 5722 5863 6292 7216 8528 9922 11444 11726 12584 14432 17056 19844 22888 23452 25168 31471 37193 39688 45776 46904 50336 62942 64493 74386 79376 91552 93808 117301 125884 128986 148772 158752 187616 234602 251768 257972 297544 346181 409123 469204 503536 515944 595088 692362 818246 938408 1007072 1031888 1190176 1290311 1384724 1524913 1636492 1876816 2063776 2580622 2769448 3049826 3272984 3753632 4500353 5161244 5538896 6099652 6545968 9000706 10322488 11077792 12199304 13091936 14193421 16774043 18001412 20644976 24398608 28386842 33548086 36002824 41289952 48797216 56773684 67096172 72005648 113547368 134192344 144011296 184514473 227094736 268384688 369028946 454189472 536769376 738057892 1476115784 2952231568 5904463136