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764400490 = 257212492
BaseRepresentation
bin101101100011111…
…101001101101010
31222021100120100021
4231203331031222
53031141303430
6203503431054
724641203600
oct5543751552
91867316307
10764400490
11362536447
12193bb548a
13c249a2a9
147373d870
154719407a
hex2d8fd36a

764400490 has 36 divisors (see below), whose sum is σ = 1601843526. Its totient is φ = 261870336.

The previous prime is 764400479. The next prime is 764400491. The reversal of 764400490 is 94004467.

It can be written as a sum of positive squares in 3 ways, for example, as 552203001 + 212197489 = 23499^2 + 14567^2 .

It is a super-2 number, since 2×7644004902 = 1168616218224480200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (764400491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 611386 + ... + 612634.

Almost surely, 2764400490 is an apocalyptic number.

764400490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

764400490 is an abundant number, since it is smaller than the sum of its proper divisors (837443036).

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

764400490 is an equidigital number, since it uses as much as digits as its factorization.

764400490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 764400490 is about 27647.7935828521. The cubic root of 764400490 is about 914.3384550003.

The spelling of 764400490 in words is "seven hundred sixty-four million, four hundred thousand, four hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1249 2498 6245 8743 12490 17486 43715 61201 87430 122402 306005 612010 1560001 3120002 7800005 10920007 15600010 21840014 54600035 76440049 109200070 152880098 382200245 764400490