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716438112 = 25313673853
BaseRepresentation
bin101010101100111…
…111101001100000
31211221002211022220
4222230333221200
52431402004422
6155031431040
723516423565
oct5254775140
91757084286
10716438112
11338457615
1217bb25480
13b55764a0
146b21686c
1542d6ce5c
hex2ab3fa60

716438112 has 96 divisors (see below), whose sum is σ = 2030702688. Its totient is φ = 219856896.

The previous prime is 716438101. The next prime is 716438137. The reversal of 716438112 is 211834617.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7164381122 = 1026567136652249088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839478 + ... + 840330.

It is an arithmetic number, because the mean of its divisors is an integer number (21153153).

Almost surely, 2716438112 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 716438112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015351344).

716438112 is an abundant number, since it is smaller than the sum of its proper divisors (1314264576).

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

716438112 is a wasteful number, since it uses less digits than its factorization.

716438112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1544 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 716438112 is about 26766.3615756793. The cubic root of 716438112 is about 894.8005181543.

The spelling of 716438112 in words is "seven hundred sixteen million, four hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 673 853 1248 1346 1706 2019 2559 2692 3412 4038 5118 5384 6824 8076 8749 10236 10768 11089 13648 16152 17498 20472 21536 22178 26247 27296 32304 33267 34996 40944 44356 52494 64608 66534 69992 81888 88712 104988 133068 139984 177424 209976 266136 279968 354848 419952 532272 574069 839904 1064544 1148138 1722207 2296276 3444414 4592552 6888828 7462897 9185104 13777656 14925794 18370208 22388691 27555312 29851588 44777382 55110624 59703176 89554764 119406352 179109528 238812704 358219056 716438112