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49440411904 = 2813210692
BaseRepresentation
bin101110000010111000…
…001101000100000000
311201121120212011001211
4232002320031010000
51302223221140104
634413531335504
73400115365402
oct560270150400
9151546764054
1049440411904
1119a70907254
1296b95b1594
13487bb53300
1425702a6b72
1514456aae04
hexb82e0d100

49440411904 has 81 divisors (see below), whose sum is σ = 106963068303. Its totient is φ = 22797305856.

The previous prime is 49440411893. The next prime is 49440411931. The reversal of 49440411904 is 40911404494.

The square root of 49440411904 is 222352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8332038400 + 41108373504 = 91280^2 + 202752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46248682 + ... + 46249750.

Almost surely, 249440411904 is an apocalyptic number.

49440411904 is the 222352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49440411904

49440411904 is an abundant number, since it is smaller than the sum of its proper divisors (57522656399).

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

49440411904 is an frugal number, since it uses more digits than its factorization.

49440411904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 49440411904 in words is "forty-nine billion, four hundred forty million, four hundred eleven thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1069 1352 1664 2138 2704 3328 4276 5408 8552 10816 13897 17104 21632 27794 34208 43264 55588 68416 111176 136832 180661 222352 273664 361322 444704 722644 889408 1142761 1445288 1778816 2285522 2890576 3557632 4571044 5781152 9142088 11562304 14855893 18284176 23124608 29711786 36568352 46249216 59423572 73136704 118847144 146273408 193126609 237694288 292546816 386253218 475388576 772506436 950777152 1545012872 1901554304 3090025744 3803108608 6180051488 12360102976 24720205952 49440411904