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48839232 = 26313171151
BaseRepresentation
bin1011101001001…
…1101001000000
310101220021211110
42322103221000
5100000323412
64502443320
71132061301
oct272235100
9111807743
1048839232
1125628702
1214433540
13a16cc70
1466b47a8
15444ad3c
hex2e93a40

48839232 has 112 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 14131200.

The previous prime is 48839227. The next prime is 48839233. The reversal of 48839232 is 23293884.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (48839233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41857 + ... + 43007.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 248839232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48839232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

48839232 is an abundant number, since it is smaller than the sum of its proper divisors (98635200).

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

48839232 is a wasteful number, since it uses less digits than its factorization.

48839232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1186 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 48839232 is about 6988.5071367210. The cubic root of 48839232 is about 365.5299289377.

The spelling of 48839232 in words is "forty-eight million, eight hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1151 1248 1326 1632 1768 2302 2496 2652 3264 3453 3536 4604 5304 6906 7072 9208 10608 13812 14144 14963 18416 19567 21216 27624 29926 36832 39134 42432 44889 55248 58701 59852 73664 78268 89778 110496 117402 119704 156536 179556 220992 234804 239408 254371 313072 359112 469608 478816 508742 626144 718224 763113 939216 957632 1017484 1252288 1436448 1526226 1878432 2034968 2872896 3052452 3756864 4069936 6104904 8139872 12209808 16279744 24419616 48839232