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2146053824 = 26232950273
BaseRepresentation
bin111111111101010…
…0010111011000000
312112120011211101222
41333322202323000
513343342210244
6552541214212
7104116104455
oct17772427300
95476154358
102146053824
11a01434002
124ba861368
132827c4045
1416503782c
15c8612bee
hex7fea2ec0

2146053824 has 56 divisors (see below), whose sum is σ = 4597054560. Its totient is φ = 990961664.

The previous prime is 2146053821. The next prime is 2146053863. The reversal of 2146053824 is 4283506412.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2146053821) 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, 17552 + ... + 67824.

It is an arithmetic number, because the mean of its divisors is an integer number (82090260).

Almost surely, 22146053824 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 2146053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298527280).

2146053824 is an abundant number, since it is smaller than the sum of its proper divisors (2451000736).

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

2146053824 is a wasteful number, since it uses less digits than its factorization.

2146053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50337 (or 50327 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2146053824 is about 46325.5202237384. The cubic root of 2146053824 is about 1289.8727563133.

The spelling of 2146053824 in words is "two billion, one hundred forty-six million, fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 184 232 368 464 667 736 928 1334 1472 1856 2668 5336 10672 21344 42688 50273 100546 201092 402184 804368 1156279 1457917 1608736 2312558 2915834 3217472 4625116 5831668 9250232 11663336 18500464 23326672 33532091 37000928 46653344 67064182 74001856 93306688 134128364 268256728 536513456 1073026912 2146053824