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392238090 = 232519239973
BaseRepresentation
bin10111011000010…
…001010000001010
31000100001202111200
4113120101100022
51300403104330
6102531005030
712501653166
oct2730212012
91010052450
10392238090
11191454312
12ab439776
136335465a
143a143ca6
152467da60
hex1761140a

392238090 has 96 divisors (see below), whose sum is σ = 1120279680. Its totient is φ = 94773888.

The previous prime is 392238089. The next prime is 392238097. The reversal of 392238090 is 90832293.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (392238097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34344 + ... + 44316.

It is an arithmetic number, because the mean of its divisors is an integer number (11669580).

Almost surely, 2392238090 is an apocalyptic number.

392238090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 392238090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560139840).

392238090 is an abundant number, since it is smaller than the sum of its proper divisors (728041590).

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

392238090 is a wasteful number, since it uses less digits than its factorization.

392238090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 392238090 is about 19805.0016409997. The cubic root of 392238090 is about 732.0092827811.

The spelling of 392238090 in words is "three hundred ninety-two million, two hundred thirty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 90 95 114 115 138 171 190 207 230 285 342 345 414 437 570 690 855 874 1035 1311 1710 2070 2185 2622 3933 4370 6555 7866 9973 13110 19665 19946 29919 39330 49865 59838 89757 99730 149595 179514 189487 229379 299190 378974 448785 458758 568461 688137 897570 947435 1136922 1146895 1376274 1705383 1894870 2064411 2293790 2842305 3410766 3440685 4128822 4358201 5684610 6881370 8526915 8716402 10322055 13074603 17053830 20644110 21791005 26149206 39223809 43582010 65373015 78447618 130746030 196119045 392238090