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452064690 = 232572119319
BaseRepresentation
bin11010111100011…
…111010110110010
31011111122021011200
4122330133112302
51411212032230
6112505152030
714126325600
oct3274372662
91144567150
10452064690
112121a6990
1210748b616
13728706cc
1444078870
1529a4a160
hex1af1f5b2

452064690 has 144 divisors (see below), whose sum is σ = 1491721920. Its totient is φ = 93925440.

The previous prime is 452064677. The next prime is 452064707. The reversal of 452064690 is 96460254.

452064690 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 646 + 9 + 0 = 666.

It is a super-2 number, since 2×4520646902 = 408724967889592200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43851 + ... + 53169.

It is an arithmetic number, because the mean of its divisors is an integer number (10359180).

Almost surely, 2452064690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452064690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745860960).

452064690 is an abundant number, since it is smaller than the sum of its proper divisors (1039657230).

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

452064690 is a wasteful number, since it uses less digits than its factorization.

452064690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 452064690 is about 21261.8129518628. The cubic root of 452064690 is about 767.4796381474.

The spelling of 452064690 in words is "four hundred fifty-two million, sixty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3234 3465 4410 4851 5390 6930 8085 9319 9702 16170 18638 24255 27957 46595 48510 55914 65233 83871 93190 102509 130466 139785 167742 195699 205018 279570 307527 326165 391398 419355 456631 512545 587097 615054 652330 717563 838710 913262 922581 978495 1025090 1174194 1369893 1435126 1537635 1845162 1956990 2152689 2283155 2739786 2935485 3075270 3587815 4109679 4305378 4566310 4612905 5022941 5870970 6458067 6849465 7175630 8219358 9225810 10045882 10763445 12916134 13698930 15068823 20548395 21526890 25114705 30137646 32290335 41096790 45206469 50229410 64580670 75344115 90412938 150688230 226032345 452064690