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83736996 = 22374397239
BaseRepresentation
bin1001111110110…
…11100110100100
312211120021120020
410333123212210
5132414040441
612150435140
72034516120
oct477334644
9184507506
1083736996
11432a3932
1224062ab0
131446b325
14b19a580
157540e66
hex4fdb9a4

83736996 has 96 divisors (see below), whose sum is σ = 231813120. Its totient is φ = 23030784.

The previous prime is 83736977. The next prime is 83737001. The reversal of 83736996 is 69963738.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350245 + ... + 350483.

It is an arithmetic number, because the mean of its divisors is an integer number (2414720).

Almost surely, 283736996 is an apocalyptic number.

83736996 is a gapful number since it is divisible by the number (86) 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 83736996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115906560).

83736996 is an abundant number, since it is smaller than the sum of its proper divisors (148076124).

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

83736996 is a wasteful number, since it uses less digits than its factorization.

83736996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 83736996 is about 9150.7920968624. The cubic root of 83736996 is about 437.4943603083.

The spelling of 83736996 in words is "eighty-three million, seven hundred thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 97 129 172 194 239 258 291 301 388 478 516 582 602 679 717 903 956 1164 1204 1358 1434 1673 1806 2037 2716 2868 3346 3612 4074 4171 5019 6692 8148 8342 10038 10277 12513 16684 20076 20554 23183 25026 29197 30831 41108 46366 50052 58394 61662 69549 71939 87591 92732 116788 123324 139098 143878 162281 175182 215817 278196 287756 324562 350364 431634 486843 649124 863268 973686 996869 1947372 1993738 2990607 3987476 5981214 6978083 11962428 13956166 20934249 27912332 41868498 83736996