Search a number
-
+
378958590 = 232533112721
BaseRepresentation
bin10110100101100…
…111001011111110
3222102002002110100
4112211213023332
51234003133330
6101334221530
712251044353
oct2645471376
9872062410
10378958590
11184a0421a
12a6ab48a6
136068516a
143848862a
1523409060
hex169672fe

378958590 has 48 divisors (see below), whose sum is σ = 988346736. Its totient is φ = 100742400.

The previous prime is 378958513. The next prime is 378958607. The reversal of 378958590 is 95859873.

It is a super-2 number, since 2×3789585902 = 287219225869576200, which contains 22 as substring.

It is a congruent number.

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, 23430 + ... + 36150.

It is an arithmetic number, because the mean of its divisors is an integer number (20590557).

Almost surely, 2378958590 is an apocalyptic number.

378958590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378958590 is an abundant number, since it is smaller than the sum of its proper divisors (609388146).

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

378958590 is a wasteful number, since it uses less digits than its factorization.

378958590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13065 (or 13062 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 378958590 is about 19466.8587604678. The cubic root of 378958590 is about 723.6533639220.

The spelling of 378958590 in words is "three hundred seventy-eight million, nine hundred fifty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 331 662 993 1655 1986 2979 3310 4965 5958 9930 12721 14895 25442 29790 38163 63605 76326 114489 127210 190815 228978 381630 572445 1144890 4210651 8421302 12631953 21053255 25263906 37895859 42106510 63159765 75791718 126319530 189479295 378958590