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642845844 = 223237487991
BaseRepresentation
bin100110010100010…
…000110010010100
31122210121221201100
4212110100302110
52304032031334
6143442230100
721634046064
oct4624206224
91583557640
10642845844
112aa962663
1215b355330
13a324a874
146153b3a4
153b682c99
hex26510c94

642845844 has 72 divisors (see below), whose sum is σ = 1674003968. Its totient is φ = 207852480.

The previous prime is 642845839. The next prime is 642845849. The reversal of 642845844 is 448548246.

642845844 is a `hidden beast` number, since 64 + 2 + 8 + 4 + 584 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (642845839) and next prime (642845849).

It is a self number, because there is not a number n which added to its sum of digits gives 642845844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642845849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648189 + ... + 649179.

Almost surely, 2642845844 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 642845844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837001984).

642845844 is an abundant number, since it is smaller than the sum of its proper divisors (1031158124).

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

642845844 is a wasteful number, since it uses less digits than its factorization.

642845844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1520 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 642845844 is about 25354.4048244087. The cubic root of 642845844 is about 863.0493176197.

The spelling of 642845844 in words is "six hundred forty-two million, eight hundred forty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 487 666 974 991 1332 1461 1948 1982 2922 2973 3964 4383 5844 5946 8766 8919 11892 17532 17838 18019 35676 36038 36667 54057 72076 73334 108114 110001 146668 162171 216228 220002 324342 330003 440004 482617 648684 660006 965234 1320012 1447851 1930468 2895702 4343553 5791404 8687106 17374212 17856829 35713658 53570487 71427316 107140974 160711461 214281948 321422922 642845844