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48909312 = 210332961
BaseRepresentation
bin1011101010010…
…0110000000000
310102000211222000
42322210300000
5100010044222
64504144000
71132502514
oct272446000
9112024860
1048909312
1125676321
1214468000
13a195b2a
1466d2144
1544619ac
hex2ea4c00

48909312 has 176 divisors, whose sum is σ = 152296800. Its totient is φ = 15482880.

The previous prime is 48909307. The next prime is 48909313. The reversal of 48909312 is 21390984.

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

It is not an unprimeable number, because it can be changed into a prime (48909313) 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, 801762 + ... + 801822.

Almost surely, 248909312 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 48909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76148400).

48909312 is an abundant number, since it is smaller than the sum of its proper divisors (103387488).

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

48909312 is a wasteful number, since it uses less digits than its factorization.

48909312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 48909312 is about 6993.5192857388. The cubic root of 48909312 is about 365.7046798072.

The spelling of 48909312 in words is "forty-eight million, nine hundred nine thousand, three hundred twelve".