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78422064 = 2437317529
BaseRepresentation
bin1001010110010…
…10000000110000
312110120020211220
410223022000300
5130034001224
611440505040
71641401520
oct453120060
9173506756
1078422064
11402a3726
122231b180
131332a0b6
14a5b5680
156d41279
hex4aca030

78422064 has 80 divisors (see below), whose sum is σ = 239032320. Its totient is φ = 21680640.

The previous prime is 78422059. The next prime is 78422077. The reversal of 78422064 is 46022487.

It is a super-3 number, since 3×784220643 (a number of 25 digits) contains 333 as substring.

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, 6652 + ... + 14180.

It is an arithmetic number, because the mean of its divisors is an integer number (2987904).

Almost surely, 278422064 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 78422064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119516160).

78422064 is an abundant number, since it is smaller than the sum of its proper divisors (160610256).

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

78422064 is a wasteful number, since it uses less digits than its factorization.

78422064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 78422064 is about 8855.6232982213. The cubic root of 78422064 is about 428.0351384666.

The spelling of 78422064 in words is "seventy-eight million, four hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 7529 10416 15058 22587 30116 45174 52703 60232 90348 105406 120464 158109 180696 210812 233399 316218 361392 421624 466798 632436 700197 843248 933596 1264872 1400394 1633793 1867192 2529744 2800788 3267586 3734384 4901379 5601576 6535172 9802758 11203152 13070344 19605516 26140688 39211032 78422064