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413349248 = 2713248407
BaseRepresentation
bin11000101000110…
…011010110000000
31001210210022120102
4120220303112000
51321304133443
6105003301532
713146260564
oct3050632600
91053708512
10413349248
111a2363454
12b651a8a8
1367836770
143cc7b6a4
152644dcb8
hex18a33580

413349248 has 32 divisors (see below), whose sum is σ = 886816560. Its totient is φ = 190775808.

The previous prime is 413349247. The next prime is 413349263. The reversal of 413349248 is 842943314.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413349247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122540 + ... + 125867.

Almost surely, 2413349248 is an apocalyptic number.

It is an amenable number.

413349248 is an abundant number, since it is smaller than the sum of its proper divisors (473467312).

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

413349248 is a wasteful number, since it uses less digits than its factorization.

413349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248434 (or 248422 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 413349248 is about 20330.9923023939. The cubic root of 413349248 is about 744.9132808991.

The spelling of 413349248 in words is "four hundred thirteen million, three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 248407 496814 993628 1987256 3229291 3974512 6458582 7949024 12917164 15898048 25834328 31796096 51668656 103337312 206674624 413349248