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48813912 = 23327234211
BaseRepresentation
bin1011101000110…
…1011101011000
310101212000002200
42322031131120
544444021122
64502130200
71131624420
oct272153530
9111760080
1048813912
1125610684
1214420960
13a161594
1466a9480
1544435ac
hex2e8d758

48813912 has 96 divisors (see below), whose sum is σ = 157697280. Its totient is φ = 13337280.

The previous prime is 48813883. The next prime is 48813913. The reversal of 48813912 is 21931884.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48813913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487 + ... + 13697.

It is an arithmetic number, because the mean of its divisors is an integer number (1642680).

Almost surely, 248813912 is an apocalyptic number.

48813912 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 48813912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848640).

48813912 is an abundant number, since it is smaller than the sum of its proper divisors (108883368).

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

48813912 is a wasteful number, since it uses less digits than its factorization.

48813912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4246 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 48813912 is about 6986.6953561752. The cubic root of 48813912 is about 365.4667501004.

It can be divided in two parts, 488 and 13912, that added together give a square (14400 = 1202).

The spelling of 48813912 in words is "forty-eight million, eight hundred thirteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 4211 5796 8422 11592 12633 16844 25266 29477 33688 37899 50532 58954 75798 88431 96853 101064 117908 151596 176862 193706 235816 265293 290559 303192 353724 387412 530586 581118 677971 707448 774824 871677 1061172 1162236 1355942 1743354 2033913 2122344 2324472 2711884 3486708 4067826 5423768 6101739 6973416 8135652 12203478 16271304 24406956 48813912