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716430464 = 2767139601
BaseRepresentation
bin101010101100111…
…101110010000000
31211221002102211122
4222230331302000
52431401233324
6155031331412
723516362361
oct5254756200
91757072748
10716430464
113384518a2
1217bb20b68
13b5572b69
146b213b68
1542d6aa5e
hex2ab3dc80

716430464 has 64 divisors (see below), whose sum is σ = 1461415200. Its totient is φ = 349747200.

The previous prime is 716430443. The next prime is 716430467. The reversal of 716430464 is 464034617.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (716430467) 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, 1191764 + ... + 1192364.

Almost surely, 2716430464 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 716430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730707600).

716430464 is an abundant number, since it is smaller than the sum of its proper divisors (744984736).

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

716430464 is a wasteful number, since it uses less digits than its factorization.

716430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 716430464 is about 26766.2187094106. The cubic root of 716430464 is about 894.7973341348.

The spelling of 716430464 in words is "seven hundred sixteen million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 139 268 278 536 556 601 1072 1112 1202 2144 2224 2404 4288 4448 4808 8576 8896 9313 9616 17792 18626 19232 37252 38464 40267 74504 76928 80534 83539 149008 161068 167078 298016 322136 334156 596032 644272 668312 1192064 1288544 1336624 2577088 2673248 5154176 5346496 5597113 10692992 11194226 22388452 44776904 89553808 179107616 358215232 716430464