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385890876 = 223272283773
BaseRepresentation
bin10111000000000…
…011101000111100
3222220010021202200
4113000003220330
51242242002001
6102142551500
712364006200
oct2700035074
9886107680
10385890876
11188909588
12a9298590
1361c415c7
1439370b00
1523d28086
hex17003a3c

385890876 has 108 divisors (see below), whose sum is σ = 1140185592. Its totient is φ = 109722816.

The previous prime is 385890853. The next prime is 385890881. The reversal of 385890876 is 678098583.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498826 + ... + 499598.

It is an arithmetic number, because the mean of its divisors is an integer number (10557274).

Almost surely, 2385890876 is an apocalyptic number.

385890876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385890876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570092796).

385890876 is an abundant number, since it is smaller than the sum of its proper divisors (754294716).

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

385890876 is a wasteful number, since it uses less digits than its factorization.

385890876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 385890876 is about 19644.1053754046. The cubic root of 385890876 is about 728.0393223336.

The spelling of 385890876 in words is "three hundred eighty-five million, eight hundred ninety thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 283 294 441 566 588 773 849 882 1132 1546 1698 1764 1981 2319 2547 3092 3396 3962 4638 5094 5411 5943 6957 7924 9276 10188 10822 11886 13867 13914 16233 17829 21644 23772 27734 27828 32466 35658 37877 41601 48699 55468 64932 71316 75754 83202 97398 113631 124803 151508 166404 194796 218759 227262 249606 340893 437518 454524 499212 656277 681786 875036 1312554 1363572 1531313 1968831 2625108 3062626 3937662 4593939 6125252 7875324 9187878 10719191 13781817 18375756 21438382 27563634 32157573 42876764 55127268 64315146 96472719 128630292 192945438 385890876