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78297492 = 223721310243
BaseRepresentation
bin1001010101010…
…11100110010100
312110022220222010
410222223212110
5130021004432
611434104220
71640342400
oct452534624
9173286863
1078297492
1140219079
122227b070
13132b54a0
14a582100
156d193cc
hex4aab994

78297492 has 72 divisors (see below), whose sum is σ = 228891936. Its totient is φ = 20647872.

The previous prime is 78297491. The next prime is 78297503. The reversal of 78297492 is 29479287.

It is a super-2 number, since 2×782974922 = 12260994506980128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78297491) 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, 2523 + ... + 12765.

Almost surely, 278297492 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 78297492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114445968).

78297492 is an abundant number, since it is smaller than the sum of its proper divisors (150594444).

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

78297492 is a wasteful number, since it uses less digits than its factorization.

78297492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10268 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 78297492 is about 8848.5870058445. The cubic root of 78297492 is about 427.8083763849.

The spelling of 78297492 in words is "seventy-eight million, two hundred ninety-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 10243 20486 30729 40972 61458 71701 122916 133159 143402 215103 266318 286804 399477 430206 501907 532636 798954 860412 932113 1003814 1505721 1597908 1864226 2007628 2796339 3011442 3728452 5592678 6022884 6524791 11185356 13049582 19574373 26099164 39148746 78297492