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48940032 = 210389179
BaseRepresentation
bin1011101010110…
…0010000000000
310102002102002210
42322230100000
5100012040112
64504542120
71132661211
oct272542000
9112072083
1048940032
1125697409
1214481940
13a1a6acb
1466dd408
15446ab3c
hex2eac400

48940032 has 88 divisors (see below), whose sum is σ = 132645600. Its totient is φ = 16039936.

The previous prime is 48940027. The next prime is 48940043. The reversal of 48940032 is 23004984.

It is a happy number.

It is a super-2 number, since 2×489400322 = 4790253464322048, which contains 22 as substring.

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, 273319 + ... + 273497.

Almost surely, 248940032 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 48940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66322800).

48940032 is an abundant number, since it is smaller than the sum of its proper divisors (83705568).

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

48940032 is a wasteful number, since it uses less digits than its factorization.

48940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 48940032 is about 6995.7152600717. The cubic root of 48940032 is about 365.7812303045.

The spelling of 48940032 in words is "forty-eight million, nine hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 179 192 256 267 356 358 384 512 534 537 712 716 768 1024 1068 1074 1424 1432 1536 2136 2148 2848 2864 3072 4272 4296 5696 5728 8544 8592 11392 11456 15931 17088 17184 22784 22912 31862 34176 34368 45568 45824 47793 63724 68352 68736 91136 91648 95586 127448 136704 137472 183296 191172 254896 273408 274944 382344 509792 549888 764688 1019584 1529376 2039168 3058752 4078336 6117504 8156672 12235008 16313344 24470016 48940032