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714982464 = 26347171961
BaseRepresentation
bin101010100111011…
…100010001000000
31211211100212120000
4222213130101000
52431013414324
6154540320000
723501151660
oct5247342100
91754325500
10714982464
113376529a9
1217b543000
13b5186a61
146ad581a0
1542b819c9
hex2a9dc440

714982464 has 560 divisors, whose sum is σ = 2743931520. Its totient is φ = 179159040.

The previous prime is 714982459. The next prime is 714982517. The reversal of 714982464 is 464289417.

714982464 is a `hidden beast` number, since 71 + 49 + 82 + 464 = 666.

It is a super-2 number, since 2×7149824642 = 1022399847655022592, which contains 22 as substring.

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

Its product of digits (387072) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11720994 + ... + 11721054.

Almost surely, 2714982464 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 714982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371965760).

714982464 is an abundant number, since it is smaller than the sum of its proper divisors (2028949056).

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

714982464 is a wasteful number, since it uses less digits than its factorization.

714982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 714982464 is about 26739.1560076230. The cubic root of 714982464 is about 894.1940932573.

The spelling of 714982464 in words is "seven hundred fourteen million, nine hundred eighty-two thousand, four hundred sixty-four".