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258023904 = 2532992681
BaseRepresentation
bin11110110000100…
…10000111100000
3122222111222020220
433120102013200
51012023231104
641334203040
76252111165
oct1730220740
9588458226
10258023904
111227141a6
12724b3480
13415c1988
14263a806c
15179bb7d9
hexf6121e0

258023904 has 48 divisors (see below), whose sum is σ = 700675920. Its totient is φ = 83041280.

The previous prime is 258023897. The next prime is 258023911. The reversal of 258023904 is 409320852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (258023897) and next prime (258023911).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43557 + ... + 49124.

It is an arithmetic number, because the mean of its divisors is an integer number (14597415).

Almost surely, 2258023904 is an apocalyptic number.

258023904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

258023904 is an abundant number, since it is smaller than the sum of its proper divisors (442652016).

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

258023904 is a wasteful number, since it uses less digits than its factorization.

258023904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92723 (or 92715 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 258023904 is about 16063.1224859926. The cubic root of 258023904 is about 636.6293363101.

The spelling of 258023904 in words is "two hundred fifty-eight million, twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 92681 185362 278043 370724 556086 741448 1112172 1482896 2224344 2687749 2965792 4448688 5375498 8063247 8897376 10750996 16126494 21501992 32252988 43003984 64505976 86007968 129011952 258023904