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49058927232 = 273720398951
BaseRepresentation
bin101101101100001000…
…111101001010000000
311200122000000201110220
4231230020331022000
51300433041132412
634312023023040
73354504000240
oct555410751200
9150560021426
1049058927232
1119895538167
12961189aa80
13481aac5433
142535761b20
151421e5368c
hexb6c23d280

49058927232 has 128 divisors (see below), whose sum is σ = 149018572800. Its totient is φ = 14008396800.

The previous prime is 49058927231. The next prime is 49058927293. The reversal of 49058927232 is 23272985094.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (49058927231) 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, 5476357 + ... + 5485307.

It is an arithmetic number, because the mean of its divisors is an integer number (1164207600).

Almost surely, 249058927232 is an apocalyptic number.

49058927232 is a gapful number since it is divisible by the number (42) 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 49058927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74509286400).

49058927232 is an abundant number, since it is smaller than the sum of its proper divisors (99959645568).

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

49058927232 is a wasteful number, since it uses less digits than its factorization.

49058927232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014 (or 11002 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 49058927232 in words is "forty-nine billion, fifty-eight million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2039 2688 4078 6117 8156 8951 12234 14273 16312 17902 24468 26853 28546 32624 35804 42819 48936 53706 57092 62657 65248 71608 85638 97872 107412 114184 125314 130496 143216 171276 187971 195744 214824 228368 250628 260992 286432 342552 375942 391488 429648 456736 501256 572864 685104 751884 782976 859296 913472 1002512 1145728 1370208 1503768 1718592 1826944 2005024 2740416 3007536 3437184 4010048 5480832 6015072 8020096 12030144 18251089 24060288 36502178 54753267 73004356 109506534 127757623 146008712 219013068 255515246 292017424 383272869 438026136 511030492 584034848 766545738 876052272 1022060984 1168069696 1533091476 1752104544 2044121968 2336139392 3066182952 3504209088 4088243936 6132365904 7008418176 8176487872 12264731808 16352975744 24529463616 49058927232