Search a number
-
+
525423680 = 26537199223
BaseRepresentation
bin11111010100010…
…101010001000000
31100121200021210022
4133110111101000
52034002024210
6124045353012
716010012315
oct3724252100
91317607708
10525423680
1124a651651
12127b68768
1384b170b2
144dad2d0c
15311db155
hex1f515440

525423680 has 112 divisors (see below), whose sum is σ = 1297228800. Its totient is φ = 202549248.

The previous prime is 525423673. The next prime is 525423713. The reversal of 525423680 is 86324525.

525423680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 525423680.

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, 2356049 + ... + 2356271.

It is an arithmetic number, because the mean of its divisors is an integer number (11582400).

Almost surely, 2525423680 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 525423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648614400).

525423680 is an abundant number, since it is smaller than the sum of its proper divisors (771805120).

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

525423680 is a wasteful number, since it uses less digits than its factorization.

525423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 525423680 is about 22922.1220658123. The cubic root of 525423680 is about 806.9312733763.

The spelling of 525423680 in words is "five hundred twenty-five million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 199 223 296 320 370 398 446 592 740 796 892 995 1115 1184 1480 1592 1784 1990 2230 2368 2960 3184 3568 3980 4460 5920 6368 7136 7363 7960 8251 8920 11840 12736 14272 14726 15920 16502 17840 29452 31840 33004 35680 36815 41255 44377 58904 63680 66008 71360 73630 82510 88754 117808 132016 147260 165020 177508 221885 235616 264032 294520 330040 355016 443770 471232 528064 589040 660080 710032 887540 1178080 1320160 1420064 1641949 1775080 2356160 2640320 2840128 3283898 3550160 6567796 7100320 8209745 13135592 14200640 16419490 26271184 32838980 52542368 65677960 105084736 131355920 262711840 525423680