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2142602652 = 2231679471129
BaseRepresentation
bin111111110110101…
…1000010110011100
312112022200111021210
41333231120112130
513342001241102
6552335224420
7104044551651
oct17755302634
95468614253
102142602652
119aa4970a3
124b9678110
13281b86228
141647b9c28
15c818036c
hex7fb5859c

2142602652 has 48 divisors (see below), whose sum is σ = 5039112960. Its totient is φ = 708546432.

The previous prime is 2142602647. The next prime is 2142602663. The reversal of 2142602652 is 2562062412.

It is a happy number.

It is a super-2 number, since 2×21426026522 = 9181492248714866208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897224 + ... + 1898352.

It is an arithmetic number, because the mean of its divisors is an integer number (104981520).

Almost surely, 22142602652 is an apocalyptic number.

It is an amenable number.

2142602652 is an abundant number, since it is smaller than the sum of its proper divisors (2896510308).

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

2142602652 is a wasteful number, since it uses less digits than its factorization.

2142602652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2142602652 is about 46288.2560915833. The cubic root of 2142602652 is about 1289.1809499403.

The spelling of 2142602652 in words is "two billion, one hundred forty-two million, six hundred two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 167 334 501 668 947 1002 1129 1894 2004 2258 2841 3387 3788 4516 5682 6774 11364 13548 158149 188543 316298 377086 474447 565629 632596 754172 948894 1069163 1131258 1897788 2138326 2262516 3207489 4276652 6414978 12829956 178550221 357100442 535650663 714200884 1071301326 2142602652