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379907808 = 25371135003
BaseRepresentation
bin10110101001001…
…110111011100000
3222110212022112120
4112221032323200
51234224022213
6101410424240
712262106640
oct2651167340
9873768476
10379907808
111854a23a5
12a7292080
1360928227
1438654520
1523545423
hex16a4eee0

379907808 has 96 divisors (see below), whose sum is σ = 1150039296. Its totient is φ = 107563008.

The previous prime is 379907807. The next prime is 379907809. The reversal of 379907808 is 808709973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379907807) and next prime (379907809).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379907807) 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, 73435 + ... + 78437.

It is an arithmetic number, because the mean of its divisors is an integer number (11979576).

Almost surely, 2379907808 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 379907808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575019648).

379907808 is an abundant number, since it is smaller than the sum of its proper divisors (770131488).

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

379907808 is a wasteful number, since it uses less digits than its factorization.

379907808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 379907808 is about 19491.2238712709. The cubic root of 379907808 is about 724.2570640733.

The spelling of 379907808 in words is "three hundred seventy-nine million, nine hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1808 2373 2712 3164 3616 4746 5003 5424 6328 9492 10006 10848 12656 15009 18984 20012 25312 30018 35021 37968 40024 60036 70042 75936 80048 105063 120072 140084 160096 210126 240144 280168 420252 480288 560336 565339 840504 1120672 1130678 1681008 1696017 2261356 3362016 3392034 3957373 4522712 6784068 7914746 9045424 11872119 13568136 15829492 18090848 23744238 27136272 31658984 47488476 54272544 63317968 94976952 126635936 189953904 379907808