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48932928 = 2632117723
BaseRepresentation
bin1011101010101…
…0100001000000
310102002001100200
42322222201000
5100011323203
64504445200
71132631412
oct272524100
9112061320
1048932928
1125692040
1214479800
13a1a37c5
1466da9b2
1544689a3
hex2eaa840

48932928 has 84 divisors (see below), whose sum is σ = 153027888. Its totient is φ = 14826240.

The previous prime is 48932903. The next prime is 48932929. The reversal of 48932928 is 82923984.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48932929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2475 + ... + 10197.

Almost surely, 248932928 is an apocalyptic number.

48932928 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 48932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76513944).

48932928 is an abundant number, since it is smaller than the sum of its proper divisors (104094960).

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

48932928 is a wasteful number, since it uses less digits than its factorization.

48932928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 7739 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48932928 is about 6995.2075022833. The cubic root of 48932928 is about 365.7635308500.

The spelling of 48932928 in words is "forty-eight million, nine hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 7723 15446 23169 30892 46338 61784 69507 84953 92676 123568 139014 169906 185352 247136 254859 278028 339812 370704 494272 509718 556056 679624 741408 764577 1019436 1112112 1359248 1482816 1529154 2038872 2224224 2718496 3058308 4077744 4448448 5436992 6116616 8155488 12233232 16310976 24466464 48932928