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465069568 = 292373541
BaseRepresentation
bin11011101110000…
…110011000000000
31012102002222111211
4123232012120000
51423024211233
6114052015504
714345011645
oct3356063000
91172088454
10465069568
11219579717
1210b901594
1375474bc2
1445aa1dcc
152ac685cd
hex1bb86600

465069568 has 80 divisors (see below), whose sum is σ = 984731616. Its totient is φ = 218972160.

The previous prime is 465069487. The next prime is 465069569. The reversal of 465069568 is 865960564.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465069569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859378 + ... + 859918.

Almost surely, 2465069568 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 465069568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492365808).

465069568 is an abundant number, since it is smaller than the sum of its proper divisors (519662048).

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

465069568 is an equidigital number, since it uses as much as digits as its factorization.

465069568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 465069568 is about 21565.4716618951. The cubic root of 465069568 is about 774.7697230515.

The spelling of 465069568 in words is "four hundred sixty-five million, sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 256 292 368 512 541 584 736 1082 1168 1472 1679 2164 2336 2944 3358 4328 4672 5888 6716 8656 9344 11776 12443 13432 17312 18688 24886 26864 34624 37376 39493 49772 53728 69248 78986 99544 107456 138496 157972 199088 214912 276992 315944 398176 429824 631888 796352 859648 908339 1263776 1592704 1816678 2527552 3185408 3633356 5055104 6370816 7266712 10110208 14533424 20220416 29066848 58133696 116267392 232534784 465069568