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642803868 = 223279726297
BaseRepresentation
bin100110010100000…
…110100010011100
31122210112211010200
4212110012202130
52304024210433
6143441303500
721633512520
oct4624064234
91583484120
10642803868
112aa934073
1215b334b90
13a3234725
1461529d80
153b675613
hex2650689c

642803868 has 72 divisors (see below), whose sum is σ = 1876204512. Its totient is φ = 181757952.

The previous prime is 642803867. The next prime is 642803869. The reversal of 642803868 is 868308246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (642803867) and next prime (642803869).

It is a super-2 number, since 2×6428038682 = 826393625431522848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642803867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11296 + ... + 37592.

It is an arithmetic number, because the mean of its divisors is an integer number (26058396).

Almost surely, 2642803868 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 642803868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938102256).

642803868 is an abundant number, since it is smaller than the sum of its proper divisors (1233400644).

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

642803868 is a wasteful number, since it uses less digits than its factorization.

642803868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26411 (or 26406 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 642803868 is about 25353.5770257374. The cubic root of 642803868 is about 863.0305323245.

The spelling of 642803868 in words is "six hundred forty-two million, eight hundred three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 12222 24444 26297 52594 78891 105188 157782 184079 236673 315564 368158 473346 552237 736316 946692 1104474 1656711 2208948 2550809 3313422 5101618 6626844 7652427 10203236 15304854 17855663 22957281 30609708 35711326 45914562 53566989 71422652 91829124 107133978 160700967 214267956 321401934 642803868