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258250640 = 2457344221
BaseRepresentation
bin11110110010010…
…01011110010000
3122222221111021112
433121021132100
51012103010030
641343112452
76254044214
oct1731113620
9588844245
10258250640
1112285958a
12725a2728
1341670c3b
1426426944
1517a13a95
hexf649790

258250640 has 40 divisors (see below), whose sum is σ = 608671608. Its totient is φ = 101882880.

The previous prime is 258250633. The next prime is 258250651. The reversal of 258250640 is 46052852.

258250640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106172416 + 152078224 = 10304^2 + 12332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 258250597 and 258250606.

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, 16271 + ... + 27950.

Almost surely, 2258250640 is an apocalyptic number.

258250640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258250640 is an abundant number, since it is smaller than the sum of its proper divisors (350420968).

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

258250640 is a wasteful number, since it uses less digits than its factorization.

258250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44307 (or 44301 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 258250640 is about 16070.1785926604. The cubic root of 258250640 is about 636.8157589974.

The spelling of 258250640 in words is "two hundred fifty-eight million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 44221 88442 176884 221105 353768 442210 707536 884420 1768840 3228133 3537680 6456266 12912532 16140665 25825064 32281330 51650128 64562660 129125320 258250640