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716042448 = 2432111726591
BaseRepresentation
bin101010101011011…
…111000011010000
31211220100201120200
4222223133003100
52431301324243
6155015135200
723513155212
oct5253370320
91756321520
10716042448
11338207320
1217b974500
13b5468374
146b1525b2
1542ce0ad3
hex2aadf0d0

716042448 has 120 divisors (see below), whose sum is σ = 2314780416. Its totient is φ = 204211200.

The previous prime is 716042413. The next prime is 716042449. The reversal of 716042448 is 844240617.

716042448 is a `hidden beast` number, since 7 + 1 + 604 + 2 + 4 + 48 = 666.

716042448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (716042449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13633 + ... + 40223.

Almost surely, 2716042448 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 716042448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157390208).

716042448 is an abundant number, since it is smaller than the sum of its proper divisors (1598737968).

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

716042448 is a wasteful number, since it uses less digits than its factorization.

716042448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26633 (or 26624 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 716042448 is about 26758.9694868842. The cubic root of 716042448 is about 894.6357653580.

The spelling of 716042448 in words is "seven hundred sixteen million, forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26591 26928 53182 79773 106364 159546 212728 239319 292501 319092 425456 452047 478638 585002 638184 877503 904094 957276 1170004 1276368 1356141 1755006 1808188 1914552 2340008 2632509 2712282 3510012 3616376 3829104 4068423 4680016 4972517 5265018 5424564 7020024 7232752 8136846 9945034 10530036 10849128 14040048 14917551 16273692 19890068 21060072 21698256 29835102 32547384 39780136 42120144 44752653 59670204 65094768 79560272 89505306 119340408 179010612 238680816 358021224 716042448