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385892664 = 23343675581
BaseRepresentation
bin10111000000000…
…100000100111000
3222220010101012220
4113000010010320
51242242031124
6102143004040
712364014333
oct2700040470
9886111186
10385892664
1118890a963
12a9299620
1361c42371
143937161a
1523d28879
hex17004138

385892664 has 64 divisors (see below), whose sum is σ = 1002080640. Its totient is φ = 123742080.

The previous prime is 385892657. The next prime is 385892669. The reversal of 385892664 is 466298583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385892669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66354 + ... + 71934.

It is an arithmetic number, because the mean of its divisors is an integer number (15657510).

Almost surely, 2385892664 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 385892664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501040320).

385892664 is an abundant number, since it is smaller than the sum of its proper divisors (616187976).

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

385892664 is a wasteful number, since it uses less digits than its factorization.

385892664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5696 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 385892664 is about 19644.1508851872. The cubic root of 385892664 is about 728.0404467726.

The spelling of 385892664 in words is "three hundred eighty-five million, eight hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 67 86 129 134 172 201 258 268 344 402 516 536 804 1032 1608 2881 5581 5762 8643 11162 11524 16743 17286 22324 23048 33486 34572 44648 66972 69144 133944 239983 373927 479966 719949 747854 959932 1121781 1439898 1495708 1919864 2243562 2879796 2991416 4487124 5759592 8974248 16078861 32157722 48236583 64315444 96473166 128630888 192946332 385892664