Search a number
-
+
78679872 = 2632235939
BaseRepresentation
bin1001011000010…
…00111101000000
312111001100111100
410230020331000
5130120223442
611450214400
71643524245
oct454107500
9174040440
1078679872
114045a397
1222424400
13133ba54b
14a6415cc
156d9284c
hex4b08f40

78679872 has 84 divisors (see below), whose sum is σ = 235366560. Its totient is φ = 25082112.

The previous prime is 78679847. The next prime is 78679873. The reversal of 78679872 is 27897687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78679873) 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, 10279 + ... + 16217.

Almost surely, 278679872 is an apocalyptic number.

78679872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117683280).

78679872 is an abundant number, since it is smaller than the sum of its proper divisors (156686688).

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

78679872 is a wasteful number, since it uses less digits than its factorization.

78679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5967 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 78679872 is about 8870.1675294213. The cubic root of 78679872 is about 428.5036723361.

The spelling of 78679872 in words is "seventy-eight million, six hundred seventy-nine thousand, eight hundred seventy-two".

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 5939 6624 11878 13248 17817 23756 35634 47512 53451 71268 95024 106902 136597 142536 190048 213804 273194 285072 380096 409791 427608 546388 570144 819582 855216 1092776 1140288 1229373 1639164 1710432 2185552 2458746 3278328 3420864 4371104 4917492 6556656 8742208 9834984 13113312 19669968 26226624 39339936 78679872