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392298816 = 26371322453
BaseRepresentation
bin10111011000100…
…000000101000000
31000100011211210210
4113120200011000
51300412030231
6102532154120
712502325220
oct2730400500
91010154723
10392298816
111914959a8
12ab468940
13633761a0
143a15c080
1524691a46
hex17620140

392298816 has 112 divisors (see below), whose sum is σ = 1277542784. Its totient is φ = 103458816.

The previous prime is 392298811. The next prime is 392298839. The reversal of 392298816 is 618892293.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3922988162 = 307796722070003712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392298811) 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, 6246 + ... + 28698.

It is an arithmetic number, because the mean of its divisors is an integer number (11406632).

Almost surely, 2392298816 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 392298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638771392).

392298816 is an abundant number, since it is smaller than the sum of its proper divisors (885243968).

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

392298816 is a wasteful number, since it uses less digits than its factorization.

392298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22488 (or 22478 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 392298816 is about 19806.5346792416. The cubic root of 392298816 is about 732.0470572036.

The spelling of 392298816 in words is "three hundred ninety-two million, two hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 22453 44906 67359 89812 134718 157171 179624 269436 291889 314342 359248 471513 538872 583778 628684 718496 875667 943026 1077744 1167556 1257368 1436992 1751334 1886052 2043223 2155488 2335112 2514736 3502668 3772104 4086446 4310976 4670224 5029472 6129669 7005336 7544208 8172892 9340448 10058944 12259338 14010672 15088416 16345784 18680896 24518676 28021344 30176832 32691568 49037352 56042688 65383136 98074704 130766272 196149408 392298816