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48108096 = 2632174
BaseRepresentation
bin1011011110000…
…1001001000000
310100112010220100
42313201021000
544303424341
64435042400
71122624561
oct267411100
9110463810
1048108096
1125179363
1214140400
139c7523a
146564168
1543543b6
hex2de1240

48108096 has 105 divisors (see below), whose sum is σ = 146511391. Its totient is φ = 15092736.

The previous prime is 48108089. The next prime is 48108121. The reversal of 48108096 is 69080184.

It is a happy number.

The square root of 48108096 is 6936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 33177600 = 3864^2 + 5760^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48108096.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2829880 + ... + 2829896.

Almost surely, 248108096 is an apocalyptic number.

48108096 is the 6936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48108096

48108096 is an abundant number, since it is smaller than the sum of its proper divisors (98403295).

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

48108096 is an frugal number, since it uses more digits than its factorization.

48108096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 22 counting only the distinct ones).

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

The cubic root of 48108096 is about 363.6967244043.

Multiplying 48108096 by its sum of digits (36), we get a 4-th power (1731891456 = 2044).

48108096 divided by its sum of digits (36) gives a 4-th power (1336336 = 344).

The spelling of 48108096 in words is "forty-eight million, one hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4896 4913 5202 6936 9248 9792 9826 10404 13872 14739 18496 19652 20808 27744 29478 39304 41616 44217 55488 58956 78608 83232 83521 88434 117912 157216 166464 167042 176868 235824 250563 314432 334084 353736 471648 501126 668168 707472 751689 943296 1002252 1336336 1414944 1503378 2004504 2672672 2829888 3006756 4009008 5345344 6013512 8018016 12027024 16036032 24054048 48108096