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2564279142 = 2331103137977
BaseRepresentation
bin1001100011010111…
…1100101101100110
320121201010212200120
42120311330231212
520222423413032
61102241222410
7120355004325
oct23065745546
96551125616
102564279142
1110a6517967
125b6931a06
1331b347049
141a47c40bc
151001c662c
hex98d7cb66

2564279142 has 64 divisors (see below), whose sum is σ = 5389922304. Its totient is φ = 812344320.

The previous prime is 2564279129. The next prime is 2564279149. The reversal of 2564279142 is 2419724652.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2564279094 and 2564279103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564279149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2624158 + ... + 2625134.

It is an arithmetic number, because the mean of its divisors is an integer number (84217536).

Almost surely, 22564279142 is an apocalyptic number.

2564279142 is an abundant number, since it is smaller than the sum of its proper divisors (2825643162).

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

2564279142 is a wasteful number, since it uses less digits than its factorization.

2564279142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253.

The product of its digits is 241920, while the sum is 42.

The square root of 2564279142 is about 50638.7118912004. The cubic root of 2564279142 is about 1368.7425444935.

The spelling of 2564279142 in words is "two billion, five hundred sixty-four million, two hundred seventy-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 31 62 93 103 137 186 206 274 309 411 618 822 977 1954 2931 3193 4247 5862 6386 8494 9579 12741 14111 19158 25482 28222 30287 42333 60574 84666 90861 100631 133849 181722 201262 267698 301893 401547 437441 603786 803094 874882 1312323 2624646 3119561 4149319 6239122 8298638 9358683 12447957 13786447 18717366 24895914 27572894 41359341 82718682 427379857 854759714 1282139571 2564279142