Search a number
-
+
427376576 = 26111989359
BaseRepresentation
bin11001011110010…
…011111111000000
31002210011222110002
4121132103333000
51333402022301
6110224055132
713406432564
oct3136237700
91083158402
10427376576
111aa274390
12bb1644a8
136a708463
1440a8d6a4
15277c016b
hex19793fc0

427376576 has 112 divisors (see below), whose sum is σ = 987552000. Its totient is φ = 181463040.

The previous prime is 427376563. The next prime is 427376581. The reversal of 427376576 is 675673724.

Its product of digits (1481760) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 427376576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190285 + ... + 1190643.

Almost surely, 2427376576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427376576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776000).

427376576 is an abundant number, since it is smaller than the sum of its proper divisors (560175424).

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

427376576 is a wasteful number, since it uses less digits than its factorization.

427376576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 47.

The square root of 427376576 is about 20673.0882066517. The cubic root of 427376576 is about 753.2461231612.

The spelling of 427376576 in words is "four hundred twenty-seven million, three hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 89 152 176 178 209 304 352 356 359 418 608 704 712 718 836 979 1216 1424 1436 1672 1691 1958 2848 2872 3344 3382 3916 3949 5696 5744 6688 6764 6821 7832 7898 11488 13376 13528 13642 15664 15796 18601 22976 27056 27284 31328 31592 31951 37202 54112 54568 62656 63184 63902 74404 75031 108224 109136 126368 127804 148808 150062 218272 252736 255608 297616 300124 351461 436544 511216 595232 600248 607069 702922 1022432 1190464 1200496 1214138 1405844 2044864 2400992 2428276 2811688 4801984 4856552 5623376 6677759 9713104 11246752 13355518 19426208 22493504 26711036 38852416 53422072 106844144 213688288 427376576