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390028977 = 3213171571249
BaseRepresentation
bin10111001111110…
…101111010110001
31000011220112011200
4113033311322301
51244321411402
6102411401413
712444122502
oct2717657261
91004815150
10390028977
111901855a8
12aa753269
1362a5cca0
1439b2aba9
152439421c
hex173f5eb1

390028977 has 48 divisors (see below), whose sum is σ = 647010000. Its totient is φ = 224280576.

The previous prime is 390028939. The next prime is 390028981. The reversal of 390028977 is 779820093.

It can be written as a sum of positive squares in 8 ways, for example, as 15374241 + 374654736 = 3921^2 + 19356^2 .

It is not a de Polignac number, because 390028977 - 215 = 389996209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (390028927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311649 + ... + 312897.

It is an arithmetic number, because the mean of its divisors is an integer number (13479375).

Almost surely, 2390028977 is an apocalyptic number.

It is an amenable number.

390028977 is a deficient number, since it is larger than the sum of its proper divisors (256981023).

390028977 is a wasteful number, since it uses less digits than its factorization.

390028977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 390028977 is about 19749.1512982204. The cubic root of 390028977 is about 730.6324518404.

The spelling of 390028977 in words is "three hundred ninety million, twenty-eight thousand, nine hundred seventy-seven".

Divisors: 1 3 9 13 17 39 51 117 153 157 221 471 663 1249 1413 1989 2041 2669 3747 6123 8007 11241 16237 18369 21233 24021 34697 48711 63699 104091 146133 191097 196093 276029 312273 588279 828087 1764837 2484261 2549209 3333581 7647627 10000743 22942881 30002229 43336553 130009659 390028977