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49936956 = 223172329367
BaseRepresentation
bin1011111001111…
…1101000111100
310110222001121220
42332133220330
5100240440311
64542153340
71144312536
oct276375074
9113861556
1049936956
1126208413
1214882850
13a4657c4
1468bc856
1545b6206
hex2f9fa3c

49936956 has 96 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 14429184.

The previous prime is 49936949. The next prime is 49936961. The reversal of 49936956 is 65963994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 49936899 and 49936908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135885 + ... + 136251.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 249936956 is an apocalyptic number.

49936956 is a gapful number since it is divisible by the number (46) 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 49936956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

49936956 is an abundant number, since it is smaller than the sum of its proper divisors (83602884).

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

49936956 is a wasteful number, since it uses less digits than its factorization.

49936956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 51.

The square root of 49936956 is about 7066.6085217734. The cubic root of 49936956 is about 368.2482473534.

The spelling of 49936956 in words is "forty-nine million, nine hundred thirty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 23 29 34 46 51 58 68 69 87 92 102 116 138 174 204 276 348 367 391 493 667 734 782 986 1101 1173 1334 1468 1479 1564 1972 2001 2202 2346 2668 2958 4002 4404 4692 5916 6239 8004 8441 10643 11339 12478 16882 18717 21286 22678 24956 25323 31929 33764 34017 37434 42572 45356 50646 63858 68034 74868 101292 127716 136068 143497 180931 244789 286994 361862 430491 489578 542793 573988 723724 734367 860982 979156 1085586 1468734 1721964 2171172 2937468 4161413 8322826 12484239 16645652 24968478 49936956