Search a number
-
+
48044544 = 293311009
BaseRepresentation
bin1011011101000…
…1101000000000
310100101220201120
42313101220000
544244411134
64433432240
71122241362
oct267215000
9110356646
1048044544
1125135639
121410b680
139c52332
146548d32
154340649
hex2dd1a00

48044544 has 80 divisors (see below), whose sum is σ = 132253440. Its totient is φ = 15482880.

The previous prime is 48044527. The next prime is 48044551. The reversal of 48044544 is 44544084.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47112 + ... + 48120.

It is an arithmetic number, because the mean of its divisors is an integer number (1653168).

Almost surely, 248044544 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 48044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66126720).

48044544 is an abundant number, since it is smaller than the sum of its proper divisors (84208896).

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

48044544 is a wasteful number, since it uses less digits than its factorization.

48044544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 48044544 is about 6931.4171711130. The cubic root of 48044544 is about 363.5365030034.

The spelling of 48044544 in words is "forty-eight million, forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1009 1488 1536 1984 2018 2976 3027 3968 4036 5952 6054 7936 8072 11904 12108 15872 16144 23808 24216 31279 32288 47616 48432 62558 64576 93837 96864 125116 129152 187674 193728 250232 258304 375348 387456 500464 516608 750696 774912 1000928 1501392 1549824 2001856 3002784 4003712 6005568 8007424 12011136 16014848 24022272 48044544