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393002272 = 2513944717
BaseRepresentation
bin10111011011001…
…011110100100000
31000101111120202201
4113123023310200
51301102033042
6102555222544
712511315135
oct2733136440
91011446681
10393002272
11191926473
12ab747a54
1363561430
143a2a258c
15247801b7
hex176cbd20

393002272 has 24 divisors (see below), whose sum is σ = 833241276. Its totient is φ = 181385472.

The previous prime is 393002263. The next prime is 393002293. The reversal of 393002272 is 272200393.

It can be written as a sum of positive squares in 2 ways, for example, as 390299536 + 2702736 = 19756^2 + 1644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 393002272.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 471943 + ... + 472774.

Almost surely, 2393002272 is an apocalyptic number.

393002272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

393002272 is an abundant number, since it is smaller than the sum of its proper divisors (440239004).

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

393002272 is a wasteful number, since it uses less digits than its factorization.

393002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944740 (or 944732 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 393002272 is about 19824.2849051359. The cubic root of 393002272 is about 732.4843559970.

The spelling of 393002272 in words is "three hundred ninety-three million, two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 944717 1889434 3778868 7557736 12281321 15115472 24562642 30230944 49125284 98250568 196501136 393002272