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258483420 = 223351336821
BaseRepresentation
bin11110110100000…
…10010011011100
3200000101022121000
433122002103130
51012132432140
641352110300
76256033656
oct1732022334
9600338530
10258483420
111229a8468
1272695390
1341722b90
14264876d6
1517a5ca30
hexf6824dc

258483420 has 96 divisors (see below), whose sum is σ = 866053440. Its totient is φ = 63624960.

The previous prime is 258483383. The next prime is 258483439. The reversal of 258483420 is 24384852.

258483420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 11391 + ... + 25430.

It is an arithmetic number, because the mean of its divisors is an integer number (9021390).

Almost surely, 2258483420 is an apocalyptic number.

258483420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258483420 is an abundant number, since it is smaller than the sum of its proper divisors (607570020).

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

258483420 is a wasteful number, since it uses less digits than its factorization.

258483420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36852 (or 36844 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 258483420 is about 16077.4195690726. The cubic root of 258483420 is about 637.0070375882.

The spelling of 258483420 in words is "two hundred fifty-eight million, four hundred eighty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 36821 73642 110463 147284 184105 220926 331389 368210 441852 478673 552315 662778 736420 957346 994167 1104630 1325556 1436019 1656945 1914692 1988334 2209260 2393365 2872038 3313890 3976668 4308057 4786730 4970835 5744076 6627780 7180095 8616114 9573460 9941670 12924171 14360190 17232228 19883340 21540285 25848342 28720380 43080570 51696684 64620855 86161140 129241710 258483420