Search a number
-
+
664255800 = 2332521328387
BaseRepresentation
bin100111100101111…
…011110100111000
31201021220200122200
4213211323310320
52330022141200
6145525150200
722314036555
oct4745736470
91637820580
10664255800
11310a5623a
1216655b360
13a7805990
1464311a2c
153d4b1800
hex2797bd38

664255800 has 144 divisors (see below), whose sum is σ = 2402476440. Its totient is φ = 163503360.

The previous prime is 664255793. The next prime is 664255849. The reversal of 664255800 is 8552466.

664255800 is a `hidden beast` number, since 6 + 642 + 5 + 5 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9207 + ... + 37593.

Almost surely, 2664255800 is an apocalyptic number.

664255800 is a gapful number since it is divisible by the number (60) 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 664255800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201238220).

664255800 is an abundant number, since it is smaller than the sum of its proper divisors (1738220640).

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

664255800 is a wasteful number, since it uses less digits than its factorization.

664255800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28422 (or 28410 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 664255800 is about 25773.1604581200. The cubic root of 664255800 is about 872.5261497952.

The spelling of 664255800 in words is "six hundred sixty-four million, two hundred fifty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 28387 56774 85161 113548 141935 170322 227096 255483 283870 340644 369031 425805 510966 567740 681288 709675 738062 851610 1021932 1107093 1135480 1277415 1419350 1476124 1703220 1845155 2043864 2129025 2214186 2554830 2838700 2952248 3321279 3406440 3690310 4258050 4428372 5109660 5535465 5677400 6387075 6642558 7380620 8516100 8856744 9225775 10219320 11070930 12774150 13285116 14761240 16606395 17032200 18451550 22141860 25548300 26570232 27677325 33212790 36903100 44283720 51096600 55354650 66425580 73806200 83031975 110709300 132851160 166063950 221418600 332127900 664255800