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716997984 = 253171921217
BaseRepresentation
bin101010101111001…
…000010101100000
31211222011021022220
4222233020111200
52432022413414
6155051431040
723524245063
oct5257102540
91758137286
10716997984
113387aa21a
12180155480
13b5711281
146b3208da
1542e2dca9
hex2abc8560

716997984 has 144 divisors (see below), whose sum is σ = 2104967088. Its totient is φ = 212926464.

The previous prime is 716997949. The next prime is 716997989. The reversal of 716997984 is 489799617.

It is a super-2 number, since 2×7169979842 = 1028172218120128512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716997989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588544 + ... + 589760.

It is an arithmetic number, because the mean of its divisors is an integer number (14617827).

Almost surely, 2716997984 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 716997984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052483544).

716997984 is an abundant number, since it is smaller than the sum of its proper divisors (1387969104).

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

716997984 is a wasteful number, since it uses less digits than its factorization.

716997984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1258 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 60.

The square root of 716997984 is about 26776.8180335155. The cubic root of 716997984 is about 895.0335428478.

The spelling of 716997984 in words is "seven hundred sixteen million, nine hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 361 408 456 544 608 646 722 816 912 969 1083 1217 1292 1444 1632 1824 1938 2166 2434 2584 2888 3651 3876 4332 4868 5168 5776 6137 7302 7752 8664 9736 10336 11552 12274 14604 15504 17328 18411 19472 20689 23123 24548 29208 31008 34656 36822 38944 41378 46246 49096 58416 62067 69369 73644 82756 92492 98192 116832 124134 138738 147288 165512 184984 196384 248268 277476 294576 331024 369968 393091 439337 496536 554952 589152 662048 739936 786182 878674 993072 1109904 1179273 1318011 1572364 1757348 1986144 2219808 2358546 2636022 3144728 3514696 4717092 5272044 6289456 7029392 7468729 9434184 10544088 12578912 14058784 14937458 18868368 21088176 22406187 29874916 37736736 42176352 44812374 59749832 89624748 119499664 179249496 238999328 358498992 716997984