Search a number
-
+
48235392 = 273317821
BaseRepresentation
bin1011100000000…
…0001110000000
310100202121112000
42320000032000
544322013032
64441504000
71123664652
oct270001600
9110677460
1048235392
1125255a67
12141a2000
139cbb16a
1465986d2
15437be7c
hex2e00380

48235392 has 128 divisors (see below), whose sum is σ = 150919200. Its totient is φ = 15114240.

The previous prime is 48235387. The next prime is 48235399. The reversal of 48235392 is 29353284.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48235399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58342 + ... + 59162.

Almost surely, 248235392 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 48235392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75459600).

48235392 is an abundant number, since it is smaller than the sum of its proper divisors (102683808).

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

48235392 is a wasteful number, since it uses less digits than its factorization.

48235392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 843 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 48235392 is about 6945.1704082765. The cubic root of 48235392 is about 364.0172273777.

The spelling of 48235392 in words is "forty-eight million, two hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 821 864 918 1088 1152 1224 1632 1642 1728 1836 2176 2448 2463 3264 3284 3456 3672 4896 4926 6528 6568 7344 7389 9792 9852 13136 13957 14688 14778 19584 19704 22167 26272 27914 29376 29556 39408 41871 44334 52544 55828 58752 59112 78816 83742 88668 105088 111656 118224 125613 157632 167484 177336 223312 236448 251226 315264 334968 354672 376839 446624 472896 502452 669936 709344 753678 893248 945792 1004904 1339872 1418688 1507356 1786496 2009808 2679744 2837376 3014712 4019616 5359488 6029424 8039232 12058848 16078464 24117696 48235392