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48108528 = 24321331829
BaseRepresentation
bin1011011110000…
…1001111110000
310100112011111100
42313201033300
544303433103
64435044400
71122626046
oct267411760
9110464440
1048108528
1125179716
1214140700
139c754b0
146564396
1543545a3
hex2de13f0

48108528 has 120 divisors (see below), whose sum is σ = 149851520. Its totient is φ = 14307840.

The previous prime is 48108527. The next prime is 48108553. The reversal of 48108528 is 82580184.

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

It is a junction number, because it is equal to n+sod(n) for n = 48108492 and 48108501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48108527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57618 + ... + 58446.

Almost surely, 248108528 is an apocalyptic number.

48108528 is a gapful number since it is divisible by the number (48) 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 48108528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74925760).

48108528 is an abundant number, since it is smaller than the sum of its proper divisors (101742992).

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

48108528 is a wasteful number, since it uses less digits than its factorization.

48108528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 48108528 is about 6936.0311417986. The cubic root of 48108528 is about 363.6978130396.

The spelling of 48108528 in words is "forty-eight million, one hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 829 936 1116 1209 1488 1612 1658 1872 2232 2418 2487 3224 3316 3627 4464 4836 4974 6448 6632 7254 7461 9672 9948 10777 13264 14508 14922 19344 19896 21554 25699 29016 29844 32331 39792 43108 51398 58032 59688 64662 77097 86216 96993 102796 119376 129324 154194 172432 193986 205592 231291 258648 308388 334087 387972 411184 462582 517296 616776 668174 775944 925164 1002261 1233552 1336348 1551888 1850328 2004522 2672696 3006783 3700656 4009044 5345392 6013566 8018088 12027132 16036176 24054264 48108528