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325625664 = 26371318637
BaseRepresentation
bin10011011010001…
…010011101000000
3211200201111102210
4103122022131000
51131330010124
652151142120
711032525650
oct2332123500
9750644383
10325625664
11157897421
1291074940
1352600a10
1431364360
151d8c1a29
hex1368a740

325625664 has 112 divisors (see below), whose sum is σ = 1060427648. Its totient is φ = 85874688.

The previous prime is 325625639. The next prime is 325625669. The reversal of 325625664 is 466526523.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325625669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8154 + ... + 26790.

It is an arithmetic number, because the mean of its divisors is an integer number (9468104).

Almost surely, 2325625664 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 325625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530213824).

325625664 is an abundant number, since it is smaller than the sum of its proper divisors (734801984).

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

325625664 is a wasteful number, since it uses less digits than its factorization.

325625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18672 (or 18662 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 325625664 is about 18045.1008309735. The cubic root of 325625664 is about 687.9753461510.

It can be divided in two parts, 32562 and 5664, that added together give a triangular number (38226 = T276).

The spelling of 325625664 in words is "three hundred twenty-five million, six hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 18637 37274 55911 74548 111822 130459 149096 223644 242281 260918 298192 391377 447288 484562 521836 596384 726843 782754 894576 969124 1043672 1192768 1453686 1565508 1695967 1789152 1938248 2087344 2907372 3131016 3391934 3578304 3876496 4174688 5087901 5814744 6262032 6783868 7752992 8349376 10175802 11629488 12524064 13567736 15505984 20351604 23258976 25048128 27135472 40703208 46517952 54270944 81406416 108541888 162812832 325625664