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48075696 = 2432563593
BaseRepresentation
bin1011011101100…
…1001110110000
310100110111110100
42313121032300
544301410241
64434232400
71122431244
oct267311660
9110414410
1048075696
1125156a89
1214125700
139c63576
146556424
1543499b6
hex2dd93b0

48075696 has 60 divisors (see below), whose sum is σ = 135011448. Its totient is φ = 15969792.

The previous prime is 48075679. The next prime is 48075701. The reversal of 48075696 is 69657084.

48075696 is a `hidden beast` number, since 4 + 80 + 7 + 569 + 6 = 666.

It is a super-3 number, since 3×480756963 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80776 + ... + 81368.

Almost surely, 248075696 is an apocalyptic number.

It is an amenable number.

48075696 is an abundant number, since it is smaller than the sum of its proper divisors (86935752).

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

48075696 is a wasteful number, since it uses less digits than its factorization.

48075696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 48075696 is about 6933.6639664754. The cubic root of 48075696 is about 363.6150581760.

It can be divided in two parts, 480 and 75696, that added together give a square (76176 = 2762).

The spelling of 48075696 in words is "forty-eight million, seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 563 593 1126 1186 1689 1779 2252 2372 3378 3558 4504 4744 5067 5337 6756 7116 9008 9488 10134 10674 13512 14232 20268 21348 27024 28464 40536 42696 81072 85392 333859 667718 1001577 1335436 2003154 2670872 3004731 4006308 5341744 6009462 8012616 12018924 16025232 24037848 48075696