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78645448 = 2372979613
BaseRepresentation
bin1001011000000…
…00100011001000
312110222121021101
410230000203020
5130113123243
611445351144
71643322010
oct454004310
9173877241
1078645448
1140436542
12224084b4
13133a798b
14a632c40
156d8754d
hex4b008c8

78645448 has 64 divisors (see below), whose sum is σ = 176832000. Its totient is φ = 32078592.

The previous prime is 78645443. The next prime is 78645449. The reversal of 78645448 is 84454687.

It is a super-2 number, since 2×786454482 = 12370212982241408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78645398 and 78645407.

It is not an unprimeable number, because it can be changed into a prime (78645443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127990 + ... + 128602.

It is an arithmetic number, because the mean of its divisors is an integer number (2763000).

Almost surely, 278645448 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 78645448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88416000).

78645448 is an abundant number, since it is smaller than the sum of its proper divisors (98186552).

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

78645448 is a wasteful number, since it uses less digits than its factorization.

78645448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The square root of 78645448 is about 8868.2268802732. The cubic root of 78645448 is about 428.4411702763.

The spelling of 78645448 in words is "seventy-eight million, six hundred forty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 79 116 158 203 232 316 406 553 613 632 812 1106 1226 1624 2212 2291 2452 4291 4424 4582 4904 8582 9164 16037 17164 17777 18328 32074 34328 35554 48427 64148 71108 96854 124439 128296 142216 193708 248878 338989 387416 497756 677978 995512 1355956 1404383 2711912 2808766 5617532 9830681 11235064 19661362 39322724 78645448