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48584316 = 22311312383
BaseRepresentation
bin1011100101010…
…1011001111100
310101102100011010
42321111121330
544414144231
64453155220
71126650144
oct271253174
9111370133
1048584316
1125474130
121432bb10
13a0b0c21
146649924
1543ea546
hex2e5567c

48584316 has 72 divisors (see below), whose sum is σ = 128120832. Its totient is φ = 14210400.

The previous prime is 48584297. The next prime is 48584339. The reversal of 48584316 is 61348584.

It is a super-2 number, since 2×485843162 = 4720871522375712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126661 + ... + 127043.

It is an arithmetic number, because the mean of its divisors is an integer number (1779456).

Almost surely, 248584316 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 48584316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64060416).

48584316 is an abundant number, since it is smaller than the sum of its proper divisors (79536516).

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

48584316 is a wasteful number, since it uses less digits than its factorization.

48584316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 48584316 is about 6970.2450459076. The cubic root of 48584316 is about 364.8928590268.

The spelling of 48584316 in words is "forty-eight million, five hundred eighty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 383 682 766 961 1023 1149 1364 1532 1922 2046 2298 2883 3844 4092 4213 4596 5766 8426 10571 11532 11873 12639 16852 21142 23746 25278 31713 35619 42284 47492 50556 63426 71238 126852 130603 142476 261206 368063 391809 522412 736126 783618 1104189 1472252 1567236 2208378 4048693 4416756 8097386 12146079 16194772 24292158 48584316