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525149664 = 253131922147
BaseRepresentation
bin11111010011010…
…010010111100000
31100121011100220120
4133103102113200
52033414242124
6124035440240
716004461404
oct3723222740
91317140816
10525149664
1124a484796
12127a56080
1384a4c460
144da61104
1531184d79
hex1f4d25e0

525149664 has 96 divisors (see below), whose sum is σ = 1562762880. Its totient is φ = 153073152.

The previous prime is 525149629. The next prime is 525149693. The reversal of 525149664 is 466941525.

It is a tau number, because it is divible by the number of its divisors (96).

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, 12639 + ... + 34785.

It is an arithmetic number, because the mean of its divisors is an integer number (16278780).

Almost surely, 2525149664 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 525149664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781381440).

525149664 is an abundant number, since it is smaller than the sum of its proper divisors (1037613216).

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

525149664 is a wasteful number, since it uses less digits than its factorization.

525149664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192 (or 22184 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 525149664 is about 22916.1441782862. The cubic root of 525149664 is about 806.7909735655.

The spelling of 525149664 in words is "five hundred twenty-five million, one hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 22147 23712 44294 66441 88588 132882 177176 265764 287911 354352 420793 531528 575822 708704 841586 863733 1063056 1151644 1262379 1683172 1727466 2126112 2303288 2524758 3366344 3454932 4606576 5049516 5470309 6732688 6909864 9213152 10099032 10940618 13465376 13819728 16410927 20198064 21881236 27639456 32821854 40396128 43762472 65643708 87524944 131287416 175049888 262574832 525149664