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76078992 = 24311213099
BaseRepresentation
bin1001000100011…
…01111110010000
312022011012202110
410202031332100
5123434011432
611314345320
71612442433
oct442157620
9168135673
1076078992
1139a43300
122158b240
13129b9772
14a16581a
156a2bdcc
hex488df90

76078992 has 60 divisors (see below), whose sum is σ = 216045200. Its totient is φ = 23052480.

The previous prime is 76078973. The next prime is 76079023. The reversal of 76078992 is 29987067.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742 + ... + 12357.

Almost surely, 276078992 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 76078992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108022600).

76078992 is an abundant number, since it is smaller than the sum of its proper divisors (139966208).

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

76078992 is a wasteful number, since it uses less digits than its factorization.

76078992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 76078992 is about 8722.3272123901. The cubic root of 76078992 is about 423.7290603205.

The spelling of 76078992 in words is "seventy-six million, seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 13099 26198 39297 52396 78594 104792 144089 157188 209584 288178 314376 432267 576356 628752 864534 1152712 1584979 1729068 2305424 3169958 3458136 4754937 6339916 6916272 9509874 12679832 19019748 25359664 38039496 76078992