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258084036 = 223373371013
BaseRepresentation
bin11110110001000…
…00110011000100
3122222122000202000
433120200303010
51012032142121
641335345300
76252451410
oct1730406304
9588560660
10258084036
111227553a1
1272522230
1341613162
14263c1d40
15179ce526
hexf620cc4

258084036 has 96 divisors (see below), whose sum is σ = 767719680. Its totient is φ = 73446912.

The previous prime is 258084031. The next prime is 258084037. The reversal of 258084036 is 630480852.

258084036 is a `hidden beast` number, since 2 + 580 + 8 + 40 + 36 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (258084031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254266 + ... + 255278.

It is an arithmetic number, because the mean of its divisors is an integer number (7997080).

Almost surely, 2258084036 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 258084036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383859840).

258084036 is an abundant number, since it is smaller than the sum of its proper divisors (509635644).

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

258084036 is a wasteful number, since it uses less digits than its factorization.

258084036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258084036 is about 16064.9941176460. The cubic root of 258084036 is about 636.6787875705.

The spelling of 258084036 in words is "two hundred fifty-eight million, eighty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 337 378 674 756 1011 1013 1348 2022 2026 2359 3033 3039 4044 4052 4718 6066 6078 7077 7091 9099 9117 9436 12132 12156 14154 14182 18198 18234 21231 21273 27351 28308 28364 36396 36468 42462 42546 54702 63693 63819 84924 85092 109404 127386 127638 191457 254772 255276 341381 382914 682762 765828 1024143 1365524 2048286 2389667 3072429 4096572 4779334 6144858 7169001 9217287 9558668 12289716 14338002 18434574 21507003 28676004 36869148 43014006 64521009 86028012 129042018 258084036