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48338880 = 2635431171
BaseRepresentation
bin1011100001100…
…1011111000000
310100221212110220
42320121133000
544333321010
64444023040
71124605452
oct270313700
9110855426
1048338880
1125316797
1214231a80
13a0262b5
1465c42d2
15439c970
hex2e197c0

48338880 has 112 divisors (see below), whose sum is σ = 157179264. Its totient is φ = 12579840.

The previous prime is 48338833. The next prime is 48338881. The reversal of 48338880 is 8883384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48338881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40695 + ... + 41865.

Almost surely, 248338880 is an apocalyptic number.

48338880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78589632).

48338880 is an abundant number, since it is smaller than the sum of its proper divisors (108840384).

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

48338880 is a wasteful number, since it uses less digits than its factorization.

48338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 48338880 is about 6952.6167735609. The cubic root of 48338880 is about 364.2773718087.

The spelling of 48338880 in words is "forty-eight million, three hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1171 1290 1376 1720 2064 2342 2580 2752 3440 3513 4128 4684 5160 5855 6880 7026 8256 9368 10320 11710 13760 14052 17565 18736 20640 23420 28104 35130 37472 41280 46840 50353 56208 70260 74944 93680 100706 112416 140520 151059 187360 201412 224832 251765 281040 302118 374720 402824 503530 562080 604236 755295 805648 1007060 1124160 1208472 1510590 1611296 2014120 2416944 3021180 3222592 4028240 4833888 6042360 8056480 9667776 12084720 16112960 24169440 48338880