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138944472 = 23323376803
BaseRepresentation
bin10000100100000…
…01111111011000
3100200110002222120
420102001333120
5241032210342
621442021240
73305002632
oct1022017730
9320402876
10138944472
1171481047
123a647820
1322a2aa84
141464ba52
15c2e8aec
hex8481fd8

138944472 has 64 divisors (see below), whose sum is σ = 372314880. Its totient is φ = 43097472.

The previous prime is 138944471. The next prime is 138944479. The reversal of 138944472 is 274449831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138944471) 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, 17023 + ... + 23825.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2138944472 is an apocalyptic number.

138944472 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 138944472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

138944472 is an abundant number, since it is smaller than the sum of its proper divisors (233370408).

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

138944472 is a wasteful number, since it uses less digits than its factorization.

138944472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6868 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 138944472 is about 11787.4709755740. The cubic root of 138944472 is about 517.9411589718.

The spelling of 138944472 in words is "one hundred thirty-eight million, nine hundred forty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 6803 6808 10212 13606 20409 20424 27212 40818 54424 81636 156469 163272 251711 312938 469407 503422 625876 755133 938814 1006844 1251752 1510266 1877628 2013688 3020532 3755256 5789353 6041064 11578706 17368059 23157412 34736118 46314824 69472236 138944472