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248916642 = 231331710067
BaseRepresentation
bin11101101011000…
…10101010100010
3122100101021102220
432311202222202
51002210313032
640411051510
76111520332
oct1665425242
9570337386
10248916642
11118563837
126b440b96
133c753570
14250b70c2
1516cbd12c
hexed62aa2

248916642 has 32 divisors (see below), whose sum is σ = 537872832. Its totient is φ = 76340544.

The previous prime is 248916611. The next prime is 248916659. The reversal of 248916642 is 246619842.

248916642 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248916594 and 248916603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19693 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (16808526).

Almost surely, 2248916642 is an apocalyptic number.

248916642 is an abundant number, since it is smaller than the sum of its proper divisors (288956190).

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

248916642 is a wasteful number, since it uses less digits than its factorization.

248916642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402.

The product of its digits is 165888, while the sum is 42.

The square root of 248916642 is about 15777.0923176611. The cubic root of 248916642 is about 629.0492436527.

The spelling of 248916642 in words is "two hundred forty-eight million, nine hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 317 634 951 1902 4121 8242 10067 12363 20134 24726 30201 60402 130871 261742 392613 785226 3191239 6382478 9573717 19147434 41486107 82972214 124458321 248916642