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426374640 = 24325691857
BaseRepresentation
bin11001011010011…
…111010111110000
31002201022002001100
4121122133113300
51333122442030
6110150404400
713365060516
oct3132372760
91081262040
10426374640
111a974a63a
12ba960700
136a4473b3
14408ac4b6
1527673360
hex1969f5f0

426374640 has 120 divisors (see below), whose sum is σ = 1435653648. Its totient is φ = 113402880.

The previous prime is 426374639. The next prime is 426374659. The reversal of 426374640 is 46473624.

426374640 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426374595 and 426374604.

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 23 ways as a sum of consecutive naturals, for example, 497092 + ... + 497948.

Almost surely, 2426374640 is an apocalyptic number.

426374640 is a gapful number since it is divisible by the number (40) 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 426374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717826824).

426374640 is an abundant number, since it is smaller than the sum of its proper divisors (1009279008).

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

426374640 is a wasteful number, since it uses less digits than its factorization.

426374640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 426374640 is about 20648.8411297099. The cubic root of 426374640 is about 752.6570291456.

The spelling of 426374640 in words is "four hundred twenty-six million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 691 720 857 1382 1714 2073 2571 2764 3428 3455 4146 4285 5142 5528 6219 6856 6910 7713 8292 8570 10284 10365 11056 12438 12855 13712 13820 15426 16584 17140 20568 20730 24876 25710 27640 30852 31095 33168 34280 38565 41136 41460 49752 51420 55280 61704 62190 68560 77130 82920 99504 102840 123408 124380 154260 165840 205680 248760 308520 497520 592187 617040 1184374 1776561 2368748 2960935 3553122 4737496 5329683 5921870 7106244 8882805 9474992 10659366 11843740 14212488 17765610 21318732 23687480 26648415 28424976 35531220 42637464 47374960 53296830 71062440 85274928 106593660 142124880 213187320 426374640