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125779338 = 23331227331
BaseRepresentation
bin1110111111100…
…11110110001010
322202200020211000
413133303312022
5224144414323
620251515430
73055051416
oct737636612
9282606730
10125779338
1164aa9973
1236158b76
132009b659
14129c1d46
15b097e43
hex77f3d8a

125779338 has 64 divisors (see below), whose sum is σ = 290672640. Its totient is φ = 40273200.

The previous prime is 125779337. The next prime is 125779399. The reversal of 125779338 is 833977521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 125779293 and 125779302.

It is not an unprimeable number, because it can be changed into a prime (125779337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379833 + ... + 380163.

It is an arithmetic number, because the mean of its divisors is an integer number (4541760).

Almost surely, 2125779338 is an apocalyptic number.

125779338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125779338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145336320).

125779338 is an abundant number, since it is smaller than the sum of its proper divisors (164893302).

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

125779338 is a wasteful number, since it uses less digits than its factorization.

125779338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 125779338 is about 11215.1387864796. The cubic root of 125779338 is about 501.0369652527.

The spelling of 125779338 in words is "one hundred twenty-five million, seven hundred seventy-nine thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 227 279 331 454 558 662 681 837 993 1362 1674 1986 2043 2979 4086 5958 6129 7037 8937 10261 12258 14074 17874 20522 21111 30783 42222 61566 63333 75137 92349 126666 150274 184698 189999 225411 277047 379998 450822 554094 676233 1352466 2028699 2329247 4057398 4658494 6987741 13975482 20963223 41926446 62889669 125779338