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2542463532 = 2233711033049
BaseRepresentation
bin1001011110001010…
…1110101000101100
320120012002112022000
42113202232220230
520201332313112
61100141452300
7120001404060
oct22742565054
96505075260
102542463532
111095177534
125ab571090
133169793bb
141a1945aa0
15ed3177dc
hex978aea2c

2542463532 has 96 divisors (see below), whose sum is σ = 7542528000. Its totient is φ = 725521536.

The previous prime is 2542463519. The next prime is 2542463563. The reversal of 2542463532 is 2353642452.

2542463532 is a `hidden beast` number, since 2 + 542 + 4 + 63 + 53 + 2 = 666.

2542463532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832344 + ... + 835392.

It is an arithmetic number, because the mean of its divisors is an integer number (78568000).

Almost surely, 22542463532 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 2542463532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771264000).

2542463532 is an abundant number, since it is smaller than the sum of its proper divisors (5000064468).

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

2542463532 is a wasteful number, since it uses less digits than its factorization.

2542463532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4164 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 2542463532 is about 50422.8473214276. The cubic root of 2542463532 is about 1364.8499581486.

The spelling of 2542463532 in words is "two billion, five hundred forty-two million, four hundred sixty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1103 2206 3049 3309 4412 6098 6618 7721 9147 9927 12196 13236 15442 18294 19854 21343 23163 27441 29781 30884 36588 39708 42686 46326 54882 59562 64029 69489 82323 85372 92652 109764 119124 128058 138978 164646 192087 208467 256116 277956 329292 384174 416934 576261 768348 833868 1152522 2305044 3363047 6726094 10089141 13452188 20178282 23541329 30267423 40356564 47082658 60534846 70623987 90802269 94165316 121069692 141247974 181604538 211871961 282495948 363209076 423743922 635615883 847487844 1271231766 2542463532