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2864626240 = 2657326099
BaseRepresentation
bin1010101010111110…
…1011101001000000
321101122022002110011
42222233223221000
521331321014430
61152130514304
7130662631000
oct25257535100
97348262404
102864626240
111240009103
1267b435994
13368636b18
141d2648000
1511b75322a
hexaabeba40

2864626240 has 112 divisors (see below), whose sum is σ = 7955280000. Its totient is φ = 982119936.

The previous prime is 2864626201. The next prime is 2864626243. The reversal of 2864626240 is 426264682.

2864626240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2864626193 and 2864626202.

It is not an unprimeable number, because it can be changed into a prime (2864626243) 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, 96711 + ... + 122809.

Almost surely, 22864626240 is an apocalyptic number.

2864626240 is a gapful number since it is divisible by the number (20) 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 2864626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977640000).

2864626240 is an abundant number, since it is smaller than the sum of its proper divisors (5090653760).

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

2864626240 is an equidigital number, since it uses as much as digits as its factorization.

2864626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26137 (or 26113 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 2864626240 is about 53522.2032431401. The cubic root of 2864626240 is about 1420.2211914907.

The spelling of 2864626240 in words is "two billion, eight hundred sixty-four million, six hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 560 686 784 980 1120 1372 1568 1715 1960 2240 2744 3136 3430 3920 5488 6860 7840 10976 13720 15680 21952 26099 27440 52198 54880 104396 109760 130495 182693 208792 260990 365386 417584 521980 730772 835168 913465 1043960 1278851 1461544 1670336 1826930 2087920 2557702 2923088 3653860 4175840 5115404 5846176 6394255 7307720 8351680 8951957 10230808 11692352 12788510 14615440 17903914 20461616 25577020 29230880 35807828 40923232 44759785 51154040 58461760 71615656 81846464 89519570 102308080 143231312 179039140 204616160 286462624 358078280 409232320 572925248 716156560 1432313120 2864626240