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138423852 = 223273471583
BaseRepresentation
bin10000100000000…
…10111000101100
3100122110122211100
420100002320230
5240414030402
621422523100
73300404040
oct1020027054
9318418740
10138423852
1171155986
123a436490
13228a7b08
1414554020
15c24471c
hex8402e2c

138423852 has 72 divisors (see below), whose sum is σ = 401296896. Its totient is φ = 39410784.

The previous prime is 138423851. The next prime is 138423881. The reversal of 138423852 is 258324831.

It is a super-2 number, since 2×1384238522 = 38322325605035808, which contains 22 as substring.

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 (138423851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86653 + ... + 88235.

It is an arithmetic number, because the mean of its divisors is an integer number (5573568).

Almost surely, 2138423852 is an apocalyptic number.

138423852 is a gapful number since it is divisible by the number (12) 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 138423852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200648448).

138423852 is an abundant number, since it is smaller than the sum of its proper divisors (262873044).

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

138423852 is a wasteful number, since it uses less digits than its factorization.

138423852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1942 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 138423852 is about 11765.3666326214. The cubic root of 138423852 is about 517.2934469387.

The spelling of 138423852 in words is "one hundred thirty-eight million, four hundred twenty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 347 694 1041 1388 1583 2082 2429 3123 3166 4164 4749 4858 6246 6332 7287 9498 9716 11081 12492 14247 14574 18996 21861 22162 28494 29148 33243 43722 44324 56988 66486 87444 99729 132972 199458 398916 549301 1098602 1647903 2197204 3295806 3845107 4943709 6591612 7690214 9887418 11535321 15380428 19774836 23070642 34605963 46141284 69211926 138423852