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427800912 = 243711283409
BaseRepresentation
bin11001011111111…
…011100101010000
31002210222112112020
4121133323211100
51334004112122
6110241131440
713413150660
oct3137734520
91083875466
10427800912
111aa534180
12bb329b80
136a826646
1440b601a0
1527855c5c
hex197fb950

427800912 has 160 divisors (see below), whose sum is σ = 1386101760. Its totient is φ = 110453760.

The previous prime is 427800907. The next prime is 427800949. The reversal of 427800912 is 219008724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045764 + ... + 1046172.

It is an arithmetic number, because the mean of its divisors is an integer number (8663136).

Almost surely, 2427800912 is an apocalyptic number.

427800912 is a gapful number since it is divisible by the number (42) 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 427800912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693050880).

427800912 is an abundant number, since it is smaller than the sum of its proper divisors (958300848).

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

427800912 is a wasteful number, since it uses less digits than its factorization.

427800912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 427800912 is about 20683.3486650494. The cubic root of 427800912 is about 753.4953364140.

The spelling of 427800912 in words is "four hundred twenty-seven million, eight hundred thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 283 308 336 409 462 528 566 616 818 849 924 1132 1227 1232 1636 1698 1848 1981 2264 2454 2863 3113 3272 3396 3696 3962 4499 4528 4908 5726 5943 6226 6544 6792 7924 8589 8998 9339 9816 11452 11886 12452 13497 13584 15848 17178 17996 18678 19632 21791 22904 23772 24904 26994 31493 31696 34356 35992 37356 43582 45808 47544 49808 53988 62986 65373 68712 71984 74712 87164 94479 95088 107976 115747 125972 130746 137424 149424 174328 188958 215952 231494 251944 261492 347241 348656 377916 462988 503888 522984 694482 755832 810229 925976 1045968 1273217 1388964 1511664 1620458 1851952 2430687 2546434 2777928 3240916 3819651 4861374 5092868 5555856 6481832 7639302 8912519 9722748 10185736 12963664 15278604 17825038 19445496 20371472 26737557 30557208 35650076 38890992 53475114 61114416 71300152 106950228 142600304 213900456 427800912