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258628920 = 233511195931
BaseRepresentation
bin11110110101001…
…01110100111000
3200000122201011220
433122211310320
51012202111140
641355152040
76260211114
oct1732456470
9600581156
10258628920
11122a97810
1272745620
1341774184
14264c4744
1517a8abd0
hexf6a5d38

258628920 has 64 divisors (see below), whose sum is σ = 846426240. Its totient is φ = 62697600.

The previous prime is 258628897. The next prime is 258628949. The reversal of 258628920 is 29826852.

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, 96646 + ... + 99285.

It is an arithmetic number, because the mean of its divisors is an integer number (13225410).

Almost surely, 2258628920 is an apocalyptic number.

258628920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258628920 is an abundant number, since it is smaller than the sum of its proper divisors (587797320).

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

258628920 is a wasteful number, since it uses less digits than its factorization.

258628920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195956 (or 195952 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 258628920 is about 16081.9439123509. The cubic root of 258628920 is about 637.1265386620.

The spelling of 258628920 in words is "two hundred fifty-eight million, six hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 195931 391862 587793 783724 979655 1175586 1567448 1959310 2155241 2351172 2938965 3918620 4310482 4702344 5877930 6465723 7837240 8620964 10776205 11755860 12931446 17241928 21552410 23511720 25862892 32328615 43104820 51725784 64657230 86209640 129314460 258628920