Search a number
-
+
48055529844 = 22327297338971
BaseRepresentation
bin101100110000010101…
…010011000101110100
311121001001221212000200
4230300111103011310
51241404203423334
634024300440500
73320601156360
oct546025230564
9147031855020
1048055529844
1119420103923
129391849130
1346bac68a7a
14247c3ac2a0
1513b3d00799
hexb30553174

48055529844 has 144 divisors (see below), whose sum is σ = 143826184320. Its totient is φ = 13237136640.

The previous prime is 48055529839. The next prime is 48055529861. The reversal of 48055529844 is 44892555084.

48055529844 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 552 + 9 + 84 + 4 = 666.

It is a congruent number.

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, 5352279 + ... + 5361249.

Almost surely, 248055529844 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 48055529844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71913092160).

48055529844 is an abundant number, since it is smaller than the sum of its proper divisors (95770654476).

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

48055529844 is a wasteful number, since it uses less digits than its factorization.

48055529844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 48055529844 in words is "forty-eight billion, fifty-five million, five hundred twenty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 733 812 1044 1218 1466 1827 2199 2436 2932 3654 4398 5131 6597 7308 8796 8971 10262 13194 15393 17942 20524 21257 26388 26913 30786 35884 42514 46179 53826 61572 62797 63771 80739 85028 92358 107652 125594 127542 148799 161478 184716 188391 191313 251188 255084 260159 297598 322956 376782 382626 446397 520318 565173 595196 753564 765252 780477 892794 1040636 1130346 1339191 1560954 1785588 1821113 2260692 2341431 2678382 3121908 3642226 4682862 5356764 5463339 6575743 7284452 9365724 10926678 13151486 16390017 19727229 21853356 26302972 32780034 39454458 46030201 59181687 65560068 78908916 92060402 118363374 138090603 184120804 190696547 236726748 276181206 381393094 414271809 552362412 572089641 762786188 828543618 1144179282 1334875829 1657087236 1716268923 2288358564 2669751658 3432537846 4004627487 5339503316 6865075692 8009254974 12013882461 16018509948 24027764922 48055529844