Search a number
-
+
398494590 = 235137313997
BaseRepresentation
bin10111110000001…
…000101101111110
31000202211121210220
4113300020231332
51304003311330
6103313042210
712606101544
oct2760105576
91022747726
10398494590
11194a3797a
12b1556366
1364735320
143acd1d94
1524eb7710
hex17c08b7e

398494590 has 64 divisors (see below), whose sum is σ = 1044138816. Its totient is φ = 96740352.

The previous prime is 398494589. The next prime is 398494609. The reversal of 398494590 is 95494893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21472 + ... + 35468.

It is an arithmetic number, because the mean of its divisors is an integer number (16314669).

Almost surely, 2398494590 is an apocalyptic number.

398494590 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 398494590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522069408).

398494590 is an abundant number, since it is smaller than the sum of its proper divisors (645644226).

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

398494590 is a wasteful number, since it uses less digits than its factorization.

398494590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14093.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 398494590 is about 19962.3292729080. The cubic root of 398494590 is about 735.8808080752.

The spelling of 398494590 in words is "three hundred ninety-eight million, four hundred ninety-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 730 949 1095 1898 2190 2847 4745 5694 9490 13997 14235 27994 28470 41991 69985 83982 139970 181961 209955 363922 419910 545883 909805 1021781 1091766 1819610 2043562 2729415 3065343 5108905 5458830 6130686 10217810 13283153 15326715 26566306 30653430 39849459 66415765 79698918 132831530 199247295 398494590