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2072046444 = 2231319798849
BaseRepresentation
bin111101110000000…
…1110101101101100
312100101220212100220
41323200032231230
513220420441234
6541335051340
7102230050506
oct17340165554
95311825326
102072046444
11973686186
12499b10b50
132703814b0
14159290d76
15c1d94a49
hex7b80eb6c

2072046444 has 96 divisors (see below), whose sum is σ = 5550720000. Its totient is φ = 596284416.

The previous prime is 2072046443. The next prime is 2072046497. The reversal of 2072046444 is 4446402702.

It is not an unprimeable number, because it can be changed into a prime (2072046443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229732 + ... + 238580.

It is an arithmetic number, because the mean of its divisors is an integer number (57820000).

Almost surely, 22072046444 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 2072046444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775360000).

2072046444 is an abundant number, since it is smaller than the sum of its proper divisors (3478673556).

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

2072046444 is a wasteful number, since it uses less digits than its factorization.

2072046444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8967 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 2072046444 is about 45519.7368621568. The cubic root of 2072046444 is about 1274.8717428848.

The spelling of 2072046444 in words is "two billion, seventy-two million, forty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 79 114 156 158 228 237 247 316 474 494 741 948 988 1027 1482 1501 2054 2964 3002 3081 4108 4503 6004 6162 8849 9006 12324 17698 18012 19513 26547 35396 39026 53094 58539 78052 106188 115037 117078 168131 230074 234156 336262 345111 460148 504393 672524 690222 699071 1008786 1380444 1398142 2017572 2097213 2185703 2796284 4194426 4371406 6557109 8388852 8742812 9087923 13114218 13282349 18175846 26228436 26564698 27263769 36351692 39847047 53129396 54527538 79694094 109055076 159388188 172670537 345341074 518011611 690682148 1036023222 2072046444