Search a number
-
+
258048990 = 23551031031
BaseRepresentation
bin11110110000110…
…00001111011110
3122222120020200000
433120120033132
51012030031430
641334515130
76252244263
oct1730301736
9588506600
10258048990
11122731031
1272505aa6
1341600214
14263b326a
15179c3e60
hexf6183de

258048990 has 96 divisors (see below), whose sum is σ = 703213056. Its totient is φ = 68078880.

The previous prime is 258048943. The next prime is 258049007. The reversal of 258048990 is 99840852.

258048990 is a `hidden beast` number, since 2 + 5 + 80 + 489 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249775 + ... + 250805.

It is an arithmetic number, because the mean of its divisors is an integer number (7325136).

Almost surely, 2258048990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258048990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351606528).

258048990 is an abundant number, since it is smaller than the sum of its proper divisors (445164066).

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

258048990 is a wasteful number, since it uses less digits than its factorization.

258048990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 258048990 is about 16063.9033239123. The cubic root of 258048990 is about 636.6499674296.

The spelling of 258048990 in words is "two hundred fifty-eight million, forty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 243 270 309 405 486 515 618 810 927 1030 1031 1215 1545 1854 2062 2430 2781 3090 3093 4635 5155 5562 6186 8343 9270 9279 10310 13905 15465 16686 18558 25029 27810 27837 30930 41715 46395 50058 55674 83430 83511 92790 106193 125145 139185 167022 212386 250290 250533 278370 318579 417555 501066 530965 637158 835110 955737 1061930 1252665 1592895 1911474 2505330 2867211 3185790 4778685 5734422 8601633 9557370 14336055 17203266 25804899 28672110 43008165 51609798 86016330 129024495 258048990