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390051828 = 223316322157
BaseRepresentation
bin10111001111111…
…011011111110100
31000011221200112000
4113033323133310
51244323124303
6102412055300
712444246225
oct2717733764
91004850460
10390051828
111901a0791
12aa764530
1362a6a4ca
1439b3524c
152439ada3
hex173fb7f4

390051828 has 48 divisors (see below), whose sum is σ = 1017495360. Its totient is φ = 129213792.

The previous prime is 390051811. The next prime is 390051863. The reversal of 390051828 is 828150093.

It is a super-2 number, since 2×3900518282 = 304280857052283168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 390051792 and 390051801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6526 + ... + 28682.

It is an arithmetic number, because the mean of its divisors is an integer number (21197820).

Almost surely, 2390051828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390051828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508747680).

390051828 is an abundant number, since it is smaller than the sum of its proper divisors (627443532).

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

390051828 is a wasteful number, since it uses less digits than its factorization.

390051828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22333 (or 22325 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 390051828 is about 19749.7298209368. The cubic root of 390051828 is about 730.6467203154.

The spelling of 390051828 in words is "three hundred ninety million, fifty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1467 1956 2934 4401 5868 8802 17604 22157 44314 66471 88628 132942 199413 265884 398826 598239 797652 1196478 2392956 3611591 7223182 10834773 14446364 21669546 32504319 43339092 65008638 97512957 130017276 195025914 390051828