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390426516 = 2232193715427
BaseRepresentation
bin10111010001010…
…110111110010100
31000012122201111100
4113101112332110
51244422122031
6102424110100
712450366504
oct2721267624
91005581440
10390426516
11190427247
12aa905330
1362b6bc0c
1439bd1a04
1524421de6
hex17456f94

390426516 has 72 divisors (see below), whose sum is σ = 1067000480. Its totient is φ = 119952576.

The previous prime is 390426511. The next prime is 390426521. The reversal of 390426516 is 615624093.

It is a happy number.

390426516 is a `hidden beast` number, since 390 + 4 + 265 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (390426511) and next prime (390426521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390426511) 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, 17595 + ... + 33021.

Almost surely, 2390426516 is an apocalyptic number.

390426516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390426516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533500240).

390426516 is an abundant number, since it is smaller than the sum of its proper divisors (676573964).

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

390426516 is a wasteful number, since it uses less digits than its factorization.

390426516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15493 (or 15488 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 390426516 is about 19759.2134458839. The cubic root of 390426516 is about 730.8806011530.

The spelling of 390426516 in words is "three hundred ninety million, four hundred twenty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 12654 15427 25308 30854 46281 61708 92562 138843 185124 277686 293113 555372 570799 586226 879339 1141598 1172452 1712397 1758678 2283196 2638017 3424794 3517356 5137191 5276034 6849588 10274382 10552068 10845181 20548764 21690362 32535543 43380724 65071086 97606629 130142172 195213258 390426516