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78225960 = 23351913413
BaseRepresentation
bin1001010100110…
…10001000101000
312110012021211210
410222122020220
5130011212320
611432353120
71636624011
oct452321050
9173167753
1078225960
114017a35a
12222457a0
131328ba67
14a564008
156d030e0
hex4a9a228

78225960 has 64 divisors (see below), whose sum is σ = 235975680. Its totient is φ = 20744960.

The previous prime is 78225937. The next prime is 78225971. The reversal of 78225960 is 6952287.

It is a happy number.

It is a super-2 number, since 2×782259602 = 12238601635843200, which contains 22 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, 21214 + ... + 24626.

It is an arithmetic number, because the mean of its divisors is an integer number (3687120).

Almost surely, 278225960 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 78225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117987840).

78225960 is an abundant number, since it is smaller than the sum of its proper divisors (157749720).

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

78225960 is a wasteful number, since it uses less digits than its factorization.

78225960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 78225960 is about 8844.5440809575. The cubic root of 78225960 is about 427.6780558515.

The spelling of 78225960 in words is "seventy-eight million, two hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3413 3820 4584 5730 6826 7640 10239 11460 13652 17065 20478 22920 27304 34130 40956 51195 68260 81912 102390 136520 204780 409560 651883 1303766 1955649 2607532 3259415 3911298 5215064 6518830 7822596 9778245 13037660 15645192 19556490 26075320 39112980 78225960