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258150252 = 223235983191
BaseRepresentation
bin11110110001100…
…00111101101100
3122222202101120110
433120300331230
51012041302002
641341020020
76253145433
oct1730607554
9588671513
10258150252
111227a0118
1272554610
1341637339
14263dc11a
15179e3e6c
hexf630f6c

258150252 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 79520320.

The previous prime is 258150241. The next prime is 258150281. The reversal of 258150252 is 252051852.

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, 1351477 + ... + 1351667.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2258150252 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 258150252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

258150252 is an abundant number, since it is smaller than the sum of its proper divisors (392130708).

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

258150252 is a wasteful number, since it uses less digits than its factorization.

258150252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 258150252 is about 16067.0548639133. The cubic root of 258150252 is about 636.7332332959.

The spelling of 258150252 in words is "two hundred fifty-eight million, one hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 59 69 83 92 118 138 166 177 191 236 249 276 332 354 382 498 573 708 764 996 1146 1357 1909 2292 2714 3818 4071 4393 4897 5428 5727 7636 8142 8786 9794 11269 11454 13179 14691 15853 16284 17572 19588 22538 22908 26358 29382 31706 33807 45076 47559 52716 58764 63412 67614 95118 112631 135228 190236 225262 259187 337893 364619 450524 518374 675786 729238 777561 935327 1036748 1093857 1351572 1458476 1555122 1870654 2187714 2805981 3110244 3741308 4375428 5611962 11223924 21512521 43025042 64537563 86050084 129075126 258150252