[go: up one dir, main page]

Search a number
-
+
83302002 = 23271574211
BaseRepresentation
bin1001111011100…
…01011001110010
312210202011212100
410331301121302
5132311131002
612133241230
72031024660
oct475613162
9183664770
1083302002
1143027033
1223a93216
1314348334
14b0c5c30
1574a711c
hex4f71672

83302002 has 48 divisors (see below), whose sum is σ = 207634752. Its totient is φ = 23643360.

The previous prime is 83301973. The next prime is 83302013. The reversal of 83302002 is 20020338.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17677 + ... + 21887.

It is an arithmetic number, because the mean of its divisors is an integer number (4325724).

Almost surely, 283302002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83302002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103817376).

83302002 is an abundant number, since it is smaller than the sum of its proper divisors (124332750).

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

83302002 is a wasteful number, since it uses less digits than its factorization.

83302002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 83302002 is about 9126.9930426181. The cubic root of 83302002 is about 436.7354846248.

The spelling of 83302002 in words is "eighty-three million, three hundred two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 942 1099 1413 2198 2826 3297 4211 6594 8422 9891 12633 19782 25266 29477 37899 58954 75798 88431 176862 265293 530586 661127 1322254 1983381 3966762 4627889 5950143 9255778 11900286 13883667 27767334 41651001 83302002