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823678464 = 293776607
BaseRepresentation
bin110001000110000…
…101011000000000
32010101220012102210
4301012011120000
53141330202324
6213422142120
726261102640
oct6106053000
92111805383
10823678464
11392a43904
121aba21940
1310185370b
147b570520
154c4a2d29
hex31185600

823678464 has 80 divisors (see below), whose sum is σ = 2507839488. Its totient is φ = 235333632.

The previous prime is 823678433. The next prime is 823678469. The reversal of 823678464 is 464876328.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823678469) 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, 27552 + ... + 49055.

Almost surely, 2823678464 is an apocalyptic number.

823678464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

823678464 is an abundant number, since it is smaller than the sum of its proper divisors (1684161024).

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

823678464 is an equidigital number, since it uses as much as digits as its factorization.

823678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76635 (or 76619 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 823678464 is about 28699.7990236866. The cubic root of 823678464 is about 937.3876706659.

The spelling of 823678464 in words is "eight hundred twenty-three million, six hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 76607 153214 229821 306428 459642 536249 612856 919284 1072498 1225712 1608747 1838568 2144996 2451424 3217494 3677136 4289992 4902848 6434988 7354272 8579984 9805696 12869976 14708544 17159968 19611392 25739952 29417088 34319936 39222784 51479904 58834176 68639872 102959808 117668352 137279744 205919616 274559488 411839232 823678464