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2542215744 = 263243310193
BaseRepresentation
bin1001011110000111…
…0010001001000000
320120011121221101200
42113201302021000
520201301400434
61100132301200
7116666322465
oct22741621100
96504557350
102542215744
111095018352
125ab471800
133168c0693
141a18bd66c
15ed2b9199
hex97872240

2542215744 has 84 divisors (see below), whose sum is σ = 7304347596. Its totient is φ = 845365248.

The previous prime is 2542215743. The next prime is 2542215763. The reversal of 2542215744 is 4475122452.

2542215744 is a `hidden beast` number, since 2 + 542 + 21 + 57 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 993006144 + 1549209600 = 31512^2 + 39360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2542215699 and 2542215708.

It is not an unprimeable number, because it can be changed into a prime (2542215743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244312 + ... + 254504.

It is an arithmetic number, because the mean of its divisors is an integer number (86956519).

Almost surely, 22542215744 is an apocalyptic number.

2542215744 is a gapful number since it is divisible by the number (24) 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 2542215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652173798).

2542215744 is an abundant number, since it is smaller than the sum of its proper divisors (4762131852).

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

2542215744 is a wasteful number, since it uses less digits than its factorization.

2542215744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 10631 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 2542215744 is about 50420.3901611243. The cubic root of 2542215744 is about 1364.8056173712.

The spelling of 2542215744 in words is "two billion, five hundred forty-two million, two hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 433 576 866 1299 1732 2598 3464 3897 5196 6928 7794 10193 10392 13856 15588 20386 20784 27712 30579 31176 40772 41568 61158 62352 81544 83136 91737 122316 124704 163088 183474 244632 249408 326176 366948 489264 652352 733896 978528 1467792 1957056 2935584 4413569 5871168 8827138 13240707 17654276 26481414 35308552 39722121 52962828 70617104 79444242 105925656 141234208 158888484 211851312 282468416 317776968 423702624 635553936 847405248 1271107872 2542215744