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49939968 = 293134161
BaseRepresentation
bin1011111010000…
…0011000000000
310110222012202110
42332200120000
5100241034333
64542215320
71144324401
oct276403000
9113865673
1049939968
112620a701
1214884540
13a466ca0
1468bd9a8
1545b7063
hex2fa0600

49939968 has 160 divisors (see below), whose sum is σ = 149177952. Its totient is φ = 14745600.

The previous prime is 49939963. The next prime is 49939979. The reversal of 49939968 is 86993994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49939963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818658 + ... + 818718.

Almost surely, 249939968 is an apocalyptic number.

49939968 is a gapful number since it is divisible by the number (48) 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 49939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74588976).

49939968 is an abundant number, since it is smaller than the sum of its proper divisors (99237984).

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

49939968 is a wasteful number, since it uses less digits than its factorization.

49939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 57.

The square root of 49939968 is about 7066.8216335210. The cubic root of 49939968 is about 368.2556509646.

The spelling of 49939968 in words is "forty-nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 61 64 78 82 96 104 122 123 128 156 164 183 192 208 244 246 256 312 328 366 384 416 488 492 512 533 624 656 732 768 793 832 976 984 1066 1248 1312 1464 1536 1586 1599 1664 1952 1968 2132 2379 2496 2501 2624 2928 3172 3198 3328 3904 3936 4264 4758 4992 5002 5248 5856 6344 6396 6656 7503 7808 7872 8528 9516 9984 10004 10496 11712 12688 12792 15006 15616 15744 17056 19032 19968 20008 20992 23424 25376 25584 30012 31232 31488 32513 34112 38064 40016 46848 50752 51168 60024 62976 65026 68224 76128 80032 93696 97539 101504 102336 120048 130052 136448 152256 160064 195078 203008 204672 240096 260104 272896 304512 320128 390156 406016 409344 480192 520208 609024 640256 780312 818688 960384 1040416 1218048 1280512 1560624 1920768 2080832 3121248 3841536 4161664 6242496 8323328 12484992 16646656 24969984 49939968