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376084992 = 293298443
BaseRepresentation
bin10110011010101…
…001101000000000
3222012200002121210
4112122221220000
51232234204432
6101152450120
712214445463
oct2632515000
9865602553
10376084992
11183321248
12a5b49940
135cbba1ca
1437d3b2da
152303c8cc
hex166a9a00

376084992 has 80 divisors (see below), whose sum is σ = 1036585440. Its totient is φ = 121024512.

The previous prime is 376084949. The next prime is 376085027. The reversal of 376084992 is 299480673.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40323 + ... + 48765.

It is an arithmetic number, because the mean of its divisors is an integer number (12957318).

Almost surely, 2376084992 is an apocalyptic number.

376084992 is a gapful number since it is divisible by the number (32) 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 376084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518292720).

376084992 is an abundant number, since it is smaller than the sum of its proper divisors (660500448).

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

376084992 is an equidigital number, since it uses as much as digits as its factorization.

376084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 376084992 is about 19392.9108696967. The cubic root of 376084992 is about 721.8195951480.

The spelling of 376084992 in words is "three hundred seventy-six million, eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2784 3712 5568 7424 8443 11136 14848 16886 22272 25329 33772 44544 50658 67544 101316 135088 202632 244847 270176 405264 489694 540352 734541 810528 979388 1080704 1469082 1621056 1958776 2161408 2938164 3242112 3917552 4322816 5876328 6484224 7835104 11752656 12968448 15670208 23505312 31340416 47010624 62680832 94021248 125361664 188042496 376084992