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258979428 = 2232173711437
BaseRepresentation
bin11110110111110…
…11011001100100
3200001022111222200
433123323121210
51012244320203
641410454500
76263201031
oct1733733144
9601274880
10258979428
11123207094
1272894430
1341867886
1426576388
1517b099a3
hexf6fb664

258979428 has 72 divisors (see below), whose sum is σ = 711946872. Its totient is φ = 79045632.

The previous prime is 258979393. The next prime is 258979439. The reversal of 258979428 is 824979852.

It can be written as a sum of positive squares in 4 ways, for example, as 98247744 + 160731684 = 9912^2 + 12678^2 .

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, 16926 + ... + 28362.

It is an arithmetic number, because the mean of its divisors is an integer number (9888151).

Almost surely, 2258979428 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 258979428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355973436).

258979428 is an abundant number, since it is smaller than the sum of its proper divisors (452967444).

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

258979428 is a wasteful number, since it uses less digits than its factorization.

258979428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501 (or 11496 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 258979428 is about 16092.8377857978. The cubic root of 258979428 is about 637.4142315986.

The spelling of 258979428 in words is "two hundred fifty-eight million, nine hundred seventy-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 11437 22644 22874 34311 45748 68622 102933 137244 194429 205866 388858 411732 423169 583287 777716 846338 1166574 1269507 1692676 1749861 2333148 2539014 3499722 3808521 5078028 6999444 7193873 7617042 14387746 15234084 21581619 28775492 43163238 64744857 86326476 129489714 258979428