Search a number
-
+
716006816 = 25721726861
BaseRepresentation
bin101010101011010…
…110010110100000
31211220021220200222
4222223112112200
52431244204231
6155014302212
723512646300
oct5253262640
91756256628
10716006816
11338192578
1217b957968
13b5455095
146b143600
1542cd527b
hex2aad65a0

716006816 has 72 divisors (see below), whose sum is σ = 1736305956. Its totient is φ = 288798720.

The previous prime is 716006807. The next prime is 716006891. The reversal of 716006816 is 618600617.

It can be written as a sum of positive squares in 2 ways, for example, as 697171216 + 18835600 = 26404^2 + 4340^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13226 + ... + 40086.

Almost surely, 2716006816 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 716006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868152978).

716006816 is an abundant number, since it is smaller than the sum of its proper divisors (1020299140).

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

716006816 is a wasteful number, since it uses less digits than its factorization.

716006816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26902 (or 26887 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 716006816 is about 26758.3036831560. The cubic root of 716006816 is about 894.6209253671.

The spelling of 716006816 in words is "seven hundred sixteen million, six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 26861 53722 107444 188027 214888 376054 429776 456637 752108 859552 913274 1316189 1504216 1826548 2632378 3008432 3196459 3653096 5264756 6016864 6392918 7306192 10529512 12785836 14612384 21059024 22375213 25571672 42118048 44750426 51143344 89500852 102286688 179001704 358003408 716006816