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48392136 = 23321324197
BaseRepresentation
bin1011100010011…
…0011111001000
310101001120112100
42320212133020
544342022021
64445113400
71125216642
oct270463710
9111046470
1048392136
1125352801
1214258860
13a044600
1465d9892
1543ad626
hex2e267c8

48392136 has 144 divisors (see below), whose sum is σ = 146879460. Its totient is φ = 14376960.

The previous prime is 48392111. The next prime is 48392143. The reversal of 48392136 is 63129384.

48392136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 367236 + 48024900 = 606^2 + 6930^2 .

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 self number, because there is not a number n which added to its sum of digits gives 48392136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498840 + ... + 498936.

Almost surely, 248392136 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 48392136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73439730).

48392136 is an abundant number, since it is smaller than the sum of its proper divisors (98487324).

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

48392136 is a wasteful number, since it uses less digits than its factorization.

48392136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 48392136 is about 6956.4456441490. The cubic root of 48392136 is about 364.4111001562.

The spelling of 48392136 in words is "forty-eight million, three hundred ninety-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 97 104 117 123 156 164 169 194 234 246 291 312 328 338 369 388 468 492 507 533 582 676 738 776 873 936 984 1014 1066 1164 1261 1352 1476 1521 1599 1746 2028 2132 2328 2522 2952 3042 3198 3492 3783 3977 4056 4264 4797 5044 6084 6396 6929 6984 7566 7954 9594 10088 11349 11931 12168 12792 13858 15132 15908 16393 19188 20787 22698 23862 27716 30264 31816 32786 35793 38376 41574 45396 47724 49179 51701 55432 62361 65572 71586 83148 90792 95448 98358 103402 124722 131144 143172 147537 155103 166296 196716 206804 249444 286344 295074 310206 393432 413608 465309 498888 590148 620412 672113 930618 1180296 1240824 1344226 1861236 2016339 2688452 3722472 4032678 5376904 6049017 8065356 12098034 16130712 24196068 48392136