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642985944 = 233414713903
BaseRepresentation
bin100110010100110…
…010111111011000
31122210220001220020
4212110302333120
52304101022234
6143445230440
721635201406
oct4624627730
91583801806
10642985944
112aaa48947
1215b402420
13a3299573
1461576476
153b6ae549
hex26532fd8

642985944 has 64 divisors (see below), whose sum is σ = 1681827840. Its totient is φ = 204637440.

The previous prime is 642985939. The next prime is 642985949. The reversal of 642985944 is 449589246.

It is an interprime number because it is at equal distance from previous prime (642985939) and next prime (642985949).

It is a super-2 number, since 2×6429859442 = 826861848363142272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642985949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39297 + ... + 53199.

It is an arithmetic number, because the mean of its divisors is an integer number (26278560).

Almost surely, 2642985944 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 642985944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840913920).

642985944 is an abundant number, since it is smaller than the sum of its proper divisors (1038841896).

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

642985944 is a wasteful number, since it uses less digits than its factorization.

642985944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14000 (or 13996 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 642985944 is about 25357.1675074327. The cubic root of 642985944 is about 863.1120099057.

The spelling of 642985944 in words is "six hundred forty-two million, nine hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 47 82 94 123 141 164 188 246 282 328 376 492 564 984 1128 1927 3854 5781 7708 11562 13903 15416 23124 27806 41709 46248 55612 83418 111224 166836 333672 570023 653441 1140046 1306882 1710069 1960323 2280092 2613764 3420138 3920646 4560184 5227528 6840276 7841292 13680552 15682584 26791081 53582162 80373243 107164324 160746486 214328648 321492972 642985944