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48292440 = 23357243191
BaseRepresentation
bin1011100000111…
…0001001011000
310100212111202220
42320032021120
544330324230
64443024040
71124323200
oct270161130
9110774686
1048292440
1125294909
121420b020
13a00b111
1465b1400
15438dd10
hex2e0e258

48292440 has 192 divisors, whose sum is σ = 173352960. Its totient is φ = 10725120.

The previous prime is 48292411. The next prime is 48292459. The reversal of 48292440 is 4429284.

It is a super-2 number, since 2×482924402 = 4664319522307200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252745 + ... + 252935.

It is an arithmetic number, because the mean of its divisors is an integer number (902880).

Almost surely, 248292440 is an apocalyptic number.

48292440 is a gapful number since it is divisible by the number (40) 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 48292440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86676480).

48292440 is an abundant number, since it is smaller than the sum of its proper divisors (125060520).

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

48292440 is a wasteful number, since it uses less digits than its factorization.

48292440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48292440 is about 6949.2762213054. The cubic root of 48292440 is about 364.1606785690.

The spelling of 48292440 in words is "forty-eight million, two hundred ninety-two thousand, four hundred forty".