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48250944 = 263373989
BaseRepresentation
bin1011100000010…
…0000001000000
310100210101212000
42320010001000
544323012234
64442104000
71124061210
oct270040100
9110711760
1048250944
1125266715
12141ab000
139cc5271
1465a0240
154381899
hex2e04040

48250944 has 112 divisors (see below), whose sum is σ = 162153600. Its totient is φ = 13782528.

The previous prime is 48250927. The next prime is 48250949. The reversal of 48250944 is 44905284.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×482509442 = 4656307193782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48250899 and 48250908.

It is not an unprimeable number, because it can be changed into a prime (48250949) 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, 10102 + ... + 14090.

It is an arithmetic number, because the mean of its divisors is an integer number (1447800).

Almost surely, 248250944 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 48250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81076800).

48250944 is an abundant number, since it is smaller than the sum of its proper divisors (113902656).

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

48250944 is a wasteful number, since it uses less digits than its factorization.

48250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48250944 is about 6946.2899449994. The cubic root of 48250944 is about 364.0563451801.

It can be divided in two parts, 48250 and 944, that added together give a palindrome (49194).

The spelling of 48250944 in words is "forty-eight million, two hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 3989 4032 6048 7978 11967 12096 15956 23934 27923 31912 35901 47868 55846 63824 71802 83769 95736 107703 111692 127648 143604 167538 191472 215406 223384 251307 255296 287208 335076 382944 430812 446768 502614 574416 670152 753921 765888 861624 893536 1005228 1148832 1340304 1507842 1723248 1787072 2010456 2297664 2680608 3015684 3446496 4020912 5361216 6031368 6892992 8041824 12062736 16083648 24125472 48250944