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48418812 = 223213307337
BaseRepresentation
bin1011100010110…
…0111111111100
310101002221010100
42320230333330
544343400222
64445441100
71125360501
oct270547774
9111087110
1048418812
1125370852
1214270190
13a0537b0
1466054a8
1543b64ac
hex2e2cffc

48418812 has 72 divisors (see below), whose sum is σ = 132628496. Its totient is φ = 14805504.

The previous prime is 48418801. The next prime is 48418831. The reversal of 48418812 is 21881484.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 143508 + ... + 143844.

Almost surely, 248418812 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 48418812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66314248).

48418812 is an abundant number, since it is smaller than the sum of its proper divisors (84209684).

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

48418812 is a wasteful number, since it uses less digits than its factorization.

48418812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 662 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 48418812 is about 6958.3627384608. The cubic root of 48418812 is about 364.4780479817.

The spelling of 48418812 in words is "forty-eight million, four hundred eighteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 307 337 468 614 674 921 1011 1228 1348 1842 2022 2763 3033 3684 3991 4044 4381 5526 6066 7982 8762 11052 11973 12132 13143 15964 17524 23946 26286 35919 39429 47892 52572 71838 78858 103459 143676 157716 206918 310377 413836 620754 931131 1241508 1344967 1862262 2689934 3724524 4034901 5379868 8069802 12104703 16139604 24209406 48418812