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83064996 = 223274312
BaseRepresentation
bin1001111001101…
…11100010100100
312210022010202100
410330313202210
5132231034441
612124212100
72026020000
oct474674244
9183263670
1083064996
1142984a63
122399a030
13142944b1
14b063700
15745bcb6
hex4f378a4

83064996 has 135 divisors (see below), whose sum is σ = 253106763. Its totient is φ = 22967280.

The previous prime is 83064977. The next prime is 83065001. The reversal of 83064996 is 69946038.

The square root of 83064996 is 9114.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2679501 + ... + 2679531.

Almost surely, 283064996 is an apocalyptic number.

83064996 is the 9114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83064996

83064996 is an abundant number, since it is smaller than the sum of its proper divisors (170041767).

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

83064996 is a wasteful number, since it uses less digits than its factorization.

83064996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 83064996 is about 436.3208997445.

The spelling of 83064996 in words is "eighty-three million, sixty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 343 372 434 441 558 588 651 686 868 882 961 1029 1116 1302 1372 1519 1764 1922 1953 2058 2401 2604 2883 3038 3087 3844 3906 4116 4557 4802 5766 6076 6174 6727 7203 7812 8649 9114 9604 10633 11532 12348 13454 13671 14406 17298 18228 20181 21266 21609 26908 27342 28812 31899 34596 40362 42532 43218 47089 54684 60543 63798 74431 80724 86436 94178 95697 121086 127596 141267 148862 188356 191394 223293 242172 282534 297724 329623 382788 423801 446586 565068 659246 669879 847602 893172 988869 1318492 1339758 1695204 1977738 2307361 2679516 2966607 3955476 4614722 5933214 6922083 9229444 11866428 13844166 20766249 27688332 41532498 83064996