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716902272 = 27332329311
BaseRepresentation
bin101010101110110…
…000111110000000
31211221222102001000
4222232300332000
52432011333042
6155045412000
723523366042
oct5256607600
91757872030
10716902272
11338744319
1218010a000
13b56a9838
146b2d7a92
1542e1074c
hex2abb0f80

716902272 has 256 divisors, whose sum is σ = 2291328000. Its totient is φ = 219985920.

The previous prime is 716902253. The next prime is 716902273. The reversal of 716902272 is 272209617.

It is a super-3 number, since 3×7169022723 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716902273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2304997 + ... + 2305307.

It is an arithmetic number, because the mean of its divisors is an integer number (8950500).

Almost surely, 2716902272 is an apocalyptic number.

716902272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145664000).

716902272 is an abundant number, since it is smaller than the sum of its proper divisors (1574425728).

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

716902272 is a wasteful number, since it uses less digits than its factorization.

716902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 716902272 is about 26775.0307562849. The cubic root of 716902272 is about 894.9937150917.

The spelling of 716902272 in words is "seven hundred sixteen million, nine hundred two thousand, two hundred seventy-two".