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138462048 = 253453419
BaseRepresentation
bin10000100000011…
…00001101100000
3100122112121020000
420100030031200
5240421241143
621423420000
73300623304
oct1020141540
9318477200
10138462048
117118164a
123a454600
13228bc30a
1414563d04
15c250bd3
hex840c360

138462048 has 60 divisors (see below), whose sum is σ = 407220660. Its totient is φ = 46153152.

The previous prime is 138462031. The next prime is 138462053. The reversal of 138462048 is 840264831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24118 + ... + 29301.

It is an arithmetic number, because the mean of its divisors is an integer number (6787011).

Almost surely, 2138462048 is an apocalyptic number.

138462048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138462048 is an abundant number, since it is smaller than the sum of its proper divisors (268758612).

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

138462048 is an equidigital number, since it uses as much as digits as its factorization.

138462048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53441 (or 53424 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 138462048 is about 11766.9897594924. The cubic root of 138462048 is about 517.3410223701.

The spelling of 138462048 in words is "one hundred thirty-eight million, four hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 53419 106838 160257 213676 320514 427352 480771 641028 854704 961542 1282056 1442313 1709408 1923084 2564112 2884626 3846168 4326939 5128224 5769252 7692336 8653878 11538504 15384672 17307756 23077008 34615512 46154016 69231024 138462048