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248394408 = 23336728201
BaseRepresentation
bin11101100111000…
…11001010101000
3122022101202001220
432303203022220
51002042110113
640351542040
76104213643
oct1663431250
9568352056
10248394408
11118237439
126b22a920
133c5cc952
1424dbca5a
1516c18523
hexece32a8

248394408 has 32 divisors (see below), whose sum is σ = 622700160. Its totient is φ = 82569600.

The previous prime is 248394397. The next prime is 248394409. The reversal of 248394408 is 804493842.

248394408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248394408.

It is not an unprimeable number, because it can be changed into a prime (248394409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5293 + ... + 22908.

It is an arithmetic number, because the mean of its divisors is an integer number (19459380).

Almost surely, 2248394408 is an apocalyptic number.

It is an amenable number.

248394408 is an abundant number, since it is smaller than the sum of its proper divisors (374305752).

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

248394408 is a wasteful number, since it uses less digits than its factorization.

248394408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28577 (or 28573 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 248394408 is about 15760.5332397099. The cubic root of 248394408 is about 628.6090147340.

The spelling of 248394408 in words is "two hundred forty-eight million, three hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 367 734 1101 1468 2202 2936 4404 8808 28201 56402 84603 112804 169206 225608 338412 676824 10349767 20699534 31049301 41399068 62098602 82798136 124197204 248394408