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642453552 = 243313139823
BaseRepresentation
bin100110010010110…
…001000000110000
31122202220000121000
4212102301000300
52303432003202
6143430002000
721630523266
oct4622610060
91582800530
10642453552
112aa714954
1215b1a6300
13a3141140
1461478436
153b60691c
hex264b1030

642453552 has 160 divisors (see below), whose sum is σ = 2002649600. Its totient is φ = 196017408.

The previous prime is 642453541. The next prime is 642453571. The reversal of 642453552 is 255354246.

642453552 is a `hidden beast` number, since 64 + 2 + 45 + 3 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780213 + ... + 781035.

It is an arithmetic number, because the mean of its divisors is an integer number (12516560).

Almost surely, 2642453552 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 642453552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001324800).

642453552 is an abundant number, since it is smaller than the sum of its proper divisors (1360196048).

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

642453552 is a wasteful number, since it uses less digits than its factorization.

642453552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 642453552 is about 25346.6674732597. The cubic root of 642453552 is about 862.8737253742.

The spelling of 642453552 in words is "six hundred forty-two million, four hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 139 144 156 208 216 234 278 312 351 417 432 468 556 624 702 823 834 936 1112 1251 1404 1646 1668 1807 1872 2224 2469 2502 2808 3292 3336 3614 3753 4938 5004 5421 5616 6584 6672 7228 7407 7506 9876 10008 10699 10842 13168 14456 14814 15012 16263 19752 20016 21398 21684 22221 28912 29628 30024 32097 32526 39504 42796 43368 44442 48789 59256 60048 64194 65052 85592 86736 88884 96291 97578 114397 118512 128388 130104 171184 177768 192582 195156 228794 256776 260208 288873 343191 355536 385164 390312 457588 513552 577746 686382 770328 780624 915176 1029573 1155492 1372764 1487161 1540656 1830352 2059146 2310984 2745528 2974322 3088719 4118292 4461483 4621968 5491056 5948644 6177438 8236584 8922966 11897288 12354876 13384449 16473168 17845932 23794576 24709752 26768898 35691864 40153347 49419504 53537796 71383728 80306694 107075592 160613388 214151184 321226776 642453552