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390886992 = 24334791889
BaseRepresentation
bin10111010011000…
…111011001010000
31000020112010011000
4113103013121100
51300031340432
6102442022000
712454325136
oct2723073120
91006463130
10390886992
11190711201
12aaaa7900
1362ca06a2
1439cb1756
15244b357c
hex174c7650

390886992 has 80 divisors (see below), whose sum is σ = 1124928000. Its totient is φ = 129954816.

The previous prime is 390886987. The next prime is 390886999. The reversal of 390886992 is 299688093.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390886999) 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, 205984 + ... + 207872.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2390886992 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 390886992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464000).

390886992 is an abundant number, since it is smaller than the sum of its proper divisors (734041008).

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

390886992 is a wasteful number, since it uses less digits than its factorization.

390886992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 390886992 is about 19770.8621966772. The cubic root of 390886992 is about 731.1678261376.

The spelling of 390886992 in words is "three hundred ninety million, eight hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 479 958 1437 1889 1916 2874 3778 3832 4311 5667 5748 7556 7664 8622 11334 11496 12933 15112 17001 17244 22668 22992 25866 30224 34002 34488 45336 51003 51732 68004 68976 90672 102006 103464 136008 204012 206928 272016 408024 816048 904831 1809662 2714493 3619324 5428986 7238648 8143479 10857972 14477296 16286958 21715944 24430437 32573916 43431888 48860874 65147832 97721748 130295664 195443496 390886992