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78380496 = 24321075087
BaseRepresentation
bin1001010101111…
…11110111010000
312110111010211100
410222333313100
5130031133441
611435544400
71641136365
oct452776720
9173433740
1078380496
1140275477
12222bb100
13133141bc
14a5a446c
156d33cb6
hex4abfdd0

78380496 has 60 divisors (see below), whose sum is σ = 221450112. Its totient is φ = 25877568.

The previous prime is 78380459. The next prime is 78380503. The reversal of 78380496 is 69408387.

It is a happy number.

78380496 is a `hidden beast` number, since 7 + 83 + 80 + 496 = 666.

It is a super-2 number, since 2×783804962 = 12287004306412032, 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 11 ways as a sum of consecutive naturals, for example, 12865 + ... + 17951.

Almost surely, 278380496 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 78380496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725056).

78380496 is an abundant number, since it is smaller than the sum of its proper divisors (143069616).

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

78380496 is a wasteful number, since it uses less digits than its factorization.

78380496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 78380496 is about 8853.2760038304. The cubic root of 78380496 is about 427.9594977250.

The spelling of 78380496 in words is "seventy-eight million, three hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5087 5136 7704 10174 15261 15408 20348 30522 40696 45783 61044 81392 91566 122088 183132 244176 366264 544309 732528 1088618 1632927 2177236 3265854 4354472 4898781 6531708 8708944 9797562 13063416 19595124 26126832 39190248 78380496