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84909996 = 223283157181
BaseRepresentation
bin1010000111110…
…01111110101100
312220202212121200
411003321332230
5133214104441
612231525500
72050503003
oct503717654
9186685550
1084909996
1143a25156
1224529890
131478c202
14b3c3c3a
1576c37b6
hex50f9fac

84909996 has 72 divisors (see below), whose sum is σ = 219810864. Its totient is φ = 27630720.

The previous prime is 84909983. The next prime is 84910009. The reversal of 84909996 is 69990948.

It is a happy number.

84909996 is a nontrivial binomial coefficient, being equal to C(13032, 2).

It is an interprime number because it is at equal distance from previous prime (84909983) and next prime (84910009).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469026 + ... + 469206.

Almost surely, 284909996 is an apocalyptic number.

84909996 is the 13031-st triangular number and also the 6516-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84909996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109905432).

84909996 is an abundant number, since it is smaller than the sum of its proper divisors (134900868).

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

84909996 is a wasteful number, since it uses less digits than its factorization.

84909996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 84909996 is about 9214.6620122498. The cubic root of 84909996 is about 439.5277232878.

It can be divided in two parts, 84909 and 996, that added together give a triangular number (85905 = T414).

The spelling of 84909996 in words is "eighty-four million, nine hundred nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 157 166 181 249 314 332 362 471 498 543 628 724 747 942 996 1086 1413 1494 1629 1884 2172 2826 2988 3258 5652 6516 13031 15023 26062 28417 30046 39093 45069 52124 56834 60092 78186 85251 90138 113668 117279 135207 156372 170502 180276 234558 255753 270414 341004 469116 511506 540828 1023012 2358611 4717222 7075833 9434444 14151666 21227499 28303332 42454998 84909996