Search a number
-
+
2863097152 = 26297121727
BaseRepresentation
bin1010101010100111…
…0110010101000000
321101112102101221021
42222221312111000
521330423102102
61152034035224
7130643632006
oct25251662500
97345371837
102863097152
11123a1642a3
1267aa18b14
1336821cb36
141d236aa76
1511b550137
hexaaa76540

2863097152 has 56 divisors (see below), whose sum is σ = 5960424960. Its totient is φ = 1362654720.

The previous prime is 2863097147. The next prime is 2863097257. The reversal of 2863097152 is 2517903682.

It is a super-2 number, since 2×28630971522 = 16394650603581022208, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2863097099 and 2863097108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120913 + ... + 142639.

It is an arithmetic number, because the mean of its divisors is an integer number (106436160).

Almost surely, 22863097152 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 2863097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980212480).

2863097152 is an abundant number, since it is smaller than the sum of its proper divisors (3097327808).

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

2863097152 is a wasteful number, since it uses less digits than its factorization.

2863097152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21839 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2863097152 is about 53507.9167226682. The cubic root of 2863097152 is about 1419.9684500032.

The spelling of 2863097152 in words is "two billion, eight hundred sixty-three million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 71 116 142 232 284 464 568 928 1136 1856 2059 2272 4118 4544 8236 16472 21727 32944 43454 65888 86908 131776 173816 347632 630083 695264 1260166 1390528 1542617 2520332 3085234 5040664 6170468 10081328 12340936 20162656 24681872 40325312 44735893 49363744 89471786 98727488 178943572 357887144 715774288 1431548576 2863097152