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125669394 = 23861157
BaseRepresentation
bin1110111110110…
…01000000010010
322202110200000000
413133121000102
5224132410034
620245310430
73054113034
oct737310022
9282420000
10125669394
1164a34304
1236105416
13200605b6
1412993c54
15b075599
hex77d9012

125669394 has 72 divisors (see below), whose sum is σ = 289207308. Its totient is φ = 40940640.

The previous prime is 125669377. The next prime is 125669419. The reversal of 125669394 is 493966521.

125669394 is a `hidden beast` number, since 1 + 256 + 6 + 9 + 394 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105822369 + 19847025 = 10287^2 + 4455^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 800364 + ... + 800520.

Almost surely, 2125669394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125669394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144603654).

125669394 is an abundant number, since it is smaller than the sum of its proper divisors (163537914).

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

125669394 is an frugal number, since it uses more digits than its factorization.

125669394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 125669394 is about 11210.2361259699. The cubic root of 125669394 is about 500.8909368534.

The spelling of 125669394 in words is "one hundred twenty-five million, six hundred sixty-nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 157 162 183 243 314 366 471 486 549 729 942 1098 1413 1458 1647 2187 2826 3294 4239 4374 4941 6561 8478 9577 9882 12717 13122 14823 19154 25434 28731 29646 38151 44469 57462 76302 86193 88938 114453 133407 172386 228906 258579 266814 343359 400221 517158 686718 775737 800442 1030077 1551474 2060154 2327211 4654422 6981633 13963266 20944899 41889798 62834697 125669394