Search a number
-
+
78865344 = 2632235953
BaseRepresentation
bin1001011001101…
…10001111000000
312111101202220200
410230312033000
5130142142334
611454205200
71645226055
oct454661700
9174352820
1078865344
1140576778
12224b3800
1313453aac
14a68d02c
156dcc799
hex4b363c0

78865344 has 84 divisors (see below), whose sum is σ = 235921296. Its totient is φ = 25141248.

The previous prime is 78865343. The next prime is 78865351. The reversal of 78865344 is 44356887.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78865344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78865343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10272 + ... + 16224.

Almost surely, 278865344 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 78865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117960648).

78865344 is an abundant number, since it is smaller than the sum of its proper divisors (157055952).

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

78865344 is a wasteful number, since it uses less digits than its factorization.

78865344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5981 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 78865344 is about 8880.6161948369. The cubic root of 78865344 is about 428.8401119007.

The spelling of 78865344 in words is "seventy-eight million, eight hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 5953 6624 11906 13248 17859 23812 35718 47624 53577 71436 95248 107154 136919 142872 190496 214308 273838 285744 380992 410757 428616 547676 571488 821514 857232 1095352 1142976 1232271 1643028 1714464 2190704 2464542 3286056 3428928 4381408 4929084 6572112 8762816 9858168 13144224 19716336 26288448 39432672 78865344