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2812015932 = 2231129372707
BaseRepresentation
bin1010011110011011…
…1111010100111100
321020222022012200020
42213212333110330
521224334002212
61143011132140
7126453512115
oct24746772474
97228265606
102812015932
111213345210
126658a4050
1335a77656b
141c967120c
15116d0ed8c
hexa79bf53c

2812015932 has 48 divisors (see below), whose sum is σ = 7182387072. Its totient is φ = 849206080.

The previous prime is 2812015919. The next prime is 2812015937. The reversal of 2812015932 is 2395102182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2812015893 and 2812015902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812015937) 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, 2323 + ... + 75029.

It is an arithmetic number, because the mean of its divisors is an integer number (149633064).

Almost surely, 22812015932 is an apocalyptic number.

2812015932 is a gapful number since it is divisible by the number (22) 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 2812015932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591193536).

2812015932 is an abundant number, since it is smaller than the sum of its proper divisors (4370371140).

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

2812015932 is a wasteful number, since it uses less digits than its factorization.

2812015932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73018 (or 73016 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2812015932 is about 53028.4445557288. Note that the first 3 decimals coincide. The cubic root of 2812015932 is about 1411.4730563767.

The spelling of 2812015932 in words is "two billion, eight hundred twelve million, fifteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 879 1172 1758 3223 3516 6446 9669 12892 19338 38676 72707 145414 218121 290828 436242 799777 872484 1599554 2399331 3199108 4798662 9597324 21303151 42606302 63909453 85212604 127818906 234334661 255637812 468669322 703003983 937338644 1406007966 2812015932