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49280915960 = 23523419713469
BaseRepresentation
bin101101111001010111…
…110001100111111000
311201012110201220202122
4231321113301213320
51301411403302320
634350033020412
73363140605553
oct557127614770
9151173656678
1049280915960
1119999879621
1296740b4708
134854aab103
14255702969a
1514366a2d25
hexb795f19f8

49280915960 has 128 divisors (see below), whose sum is σ = 119755843200. Its totient is φ = 18204426240.

The previous prime is 49280915951. The next prime is 49280915963. The reversal of 49280915960 is 6951908294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49280915963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3652106 + ... + 3665574.

It is an arithmetic number, because the mean of its divisors is an integer number (935592525).

Almost surely, 249280915960 is an apocalyptic number.

49280915960 is a gapful number since it is divisible by the number (40) 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 49280915960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59877921600).

49280915960 is an abundant number, since it is smaller than the sum of its proper divisors (70474927240).

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

49280915960 is a wasteful number, since it uses less digits than its factorization.

49280915960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13641 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 49280915960 in words is "forty-nine billion, two hundred eighty million, nine hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 97 115 164 184 194 205 230 328 388 410 460 485 776 820 920 943 970 1640 1886 1940 2231 3772 3880 3977 4462 4715 7544 7954 8924 9430 11155 13469 15908 17848 18860 19885 22310 26938 31816 37720 39770 44620 53876 67345 79540 89240 91471 107752 134690 159080 182942 269380 309787 365884 457355 538760 552229 619574 731768 914710 1104458 1239148 1306493 1548935 1829420 2208916 2478296 2612986 2761145 3097870 3658840 4417832 5225972 5522290 6195740 6532465 10451944 11044580 12391480 12701267 13064930 22089160 25402534 26129860 30049339 50805068 52259720 53566213 60098678 63506335 101610136 107132426 120197356 127012670 150246695 214264852 240394712 254025340 267831065 300493390 428529704 508050680 535662130 600986780 1071324260 1201973560 1232022899 2142648520 2464045798 4928091596 6160114495 9856183192 12320228990 24640457980 49280915960