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82440000832 = 2671011821959
BaseRepresentation
bin100110011000111001…
…1101001010101000000
321212210101101221220011
41030301303221111000
52322314120011312
6101512235154304
75645640305440
oct1146163512500
9255711357804
1082440000832
1131a6525a8a2
1213b88ba5994
137a0a7b77a7
143dc0c4c120
1522277e6da7
hex1331ce9540

82440000832 has 56 divisors (see below), whose sum is σ = 188813358720. Its totient is φ = 34981593600.

The previous prime is 82440000827. The next prime is 82440000833. The reversal of 82440000832 is 23800004428.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 82440000794 and 82440000803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82440000833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865732 + ... + 956227.

It is an arithmetic number, because the mean of its divisors is an integer number (3371667120).

Almost surely, 282440000832 is an apocalyptic number.

It is an amenable number.

82440000832 is an abundant number, since it is smaller than the sum of its proper divisors (106373357888).

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

82440000832 is a wasteful number, since it uses less digits than its factorization.

82440000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822079 (or 1822069 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 82440000832 in words is "eighty-two billion, four hundred forty million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 404 448 707 808 1414 1616 2828 3232 5656 6464 11312 22624 45248 1821959 3643918 7287836 12753713 14575672 25507426 29151344 51014852 58302688 102029704 116605376 184017859 204059408 368035718 408118816 736071436 816237632 1288125013 1472142872 2576250026 2944285744 5152500052 5888571488 10305000104 11777142976 20610000208 41220000416 82440000832