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258149052 = 22337248781
BaseRepresentation
bin11110110001100…
…00101010111100
3122222202022221000
433120300222330
51012041232202
641341010300
76253142100
oct1730605274
9588668830
10258149052
1112279a227
1272553990
1341636925
14263db900
15179e391c
hexf630abc

258149052 has 72 divisors (see below), whose sum is σ = 778560720. Its totient is φ = 73755360.

The previous prime is 258149009. The next prime is 258149069. The reversal of 258149052 is 250941852.

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 258148998 and 258149016.

It is a congruent number.

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, 19099 + ... + 29682.

Almost surely, 2258149052 is an apocalyptic number.

It is an amenable number.

258149052 is an abundant number, since it is smaller than the sum of its proper divisors (520411668).

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

258149052 is a wasteful number, since it uses less digits than its factorization.

258149052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48808 (or 48793 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 258149052 is about 16067.0175203738. The cubic root of 258149052 is about 636.7322466856.

The spelling of 258149052 in words is "two hundred fifty-eight million, one hundred forty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 48781 97562 146343 195124 292686 341467 439029 585372 682934 878058 1024401 1317087 1365868 1756116 2048802 2390269 2634174 3073203 4097604 4780538 5268348 6146406 7170807 9219609 9561076 12292812 14341614 18439218 21512421 28683228 36878436 43024842 64537263 86049684 129074526 258149052