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390262872 = 233611272099
BaseRepresentation
bin10111010000101…
…111000001011000
31000012100102000110
4113100233001120
51244401402442
6102420404320
712446115426
oct2720570130
91005312013
10390262872
111903252aa
12aa8466a0
1362b1259c
1439b8c116
15243dd69c
hex1742f058

390262872 has 64 divisors (see below), whose sum is σ = 999936000. Its totient is φ = 126887040.

The previous prime is 390262849. The next prime is 390262877. The reversal of 390262872 is 278262093.

It is a self number, because there is not a number n which added to its sum of digits gives 390262872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390262877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184879 + ... + 186977.

It is an arithmetic number, because the mean of its divisors is an integer number (15624000).

Almost surely, 2390262872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390262872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

390262872 is an abundant number, since it is smaller than the sum of its proper divisors (609673128).

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

390262872 is a wasteful number, since it uses less digits than its factorization.

390262872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 390262872 is about 19755.0720575755. The cubic root of 390262872 is about 730.7784727247.

The spelling of 390262872 in words is "three hundred ninety million, two hundred sixty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 127 183 244 254 366 381 488 508 732 762 1016 1464 1524 2099 3048 4198 6297 7747 8396 12594 15494 16792 23241 25188 30988 46482 50376 61976 92964 128039 185928 256078 266573 384117 512156 533146 768234 799719 1024312 1066292 1536468 1599438 2132584 3072936 3198876 6397752 16260953 32521906 48782859 65043812 97565718 130087624 195131436 390262872