Search a number
-
+
92682990 = 23257314107
BaseRepresentation
bin1011000011000…
…11101011101110
320110101210011100
411201203223232
5142211323430
613110303530
72203535541
oct541435356
9213353140
1092682990
1148354114
1227057ba6
131628120a
14c448858
15820b960
hex5863aee

92682990 has 48 divisors (see below), whose sum is σ = 244294128. Its totient is φ = 24375168.

The previous prime is 92682971. The next prime is 92682991. The reversal of 92682990 is 9928629.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92682991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484 + ... + 13623.

It is an arithmetic number, because the mean of its divisors is an integer number (5089461).

Almost surely, 292682990 is an apocalyptic number.

92682990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 92682990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122147064).

92682990 is an abundant number, since it is smaller than the sum of its proper divisors (151611138).

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

92682990 is a wasteful number, since it uses less digits than its factorization.

92682990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14193 (or 14190 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 92682990 is about 9627.2005276716. The cubic root of 92682990 is about 452.5501140024.

The spelling of 92682990 in words is "ninety-two million, six hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 14107 28214 42321 70535 84642 126963 141070 211605 253926 423210 634815 1029811 1269630 2059622 3089433 5149055 6178866 9268299 10298110 15447165 18536598 30894330 46341495 92682990