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48762320 = 2455910331
BaseRepresentation
bin1011101000000…
…0110111010000
310101202101022212
42322000313100
544440343240
64501051252
71131321125
oct272006720
9111671285
1048762320
1125585942
12143b6b28
13a143c59
14669474c
154433165
hex2e80dd0

48762320 has 40 divisors (see below), whose sum is σ = 115305120. Its totient is φ = 19172480.

The previous prime is 48762313. The next prime is 48762331. The reversal of 48762320 is 2326784.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 446 + ... + 9885.

It is an arithmetic number, because the mean of its divisors is an integer number (2882628).

Almost surely, 248762320 is an apocalyptic number.

48762320 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 48762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57652560).

48762320 is an abundant number, since it is smaller than the sum of its proper divisors (66542800).

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

48762320 is a wasteful number, since it uses less digits than its factorization.

48762320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 48762320 is about 6983.0022196760. The cubic root of 48762320 is about 365.3379493381.

The spelling of 48762320 in words is "forty-eight million, seven hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 10331 20662 41324 51655 82648 103310 165296 206620 413240 609529 826480 1219058 2438116 3047645 4876232 6095290 9752464 12190580 24381160 48762320