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644127640 = 235134612687
BaseRepresentation
bin100110011001001…
…001101110011000
31122220001002000021
4212121021232120
52304344041030
6143525520224
721650665102
oct4631115630
91586032007
10644127640
113006586a2
1215b873074
13a35a9120
1461792572
153b83797a
hex26649b98

644127640 has 64 divisors (see below), whose sum is σ = 1564738560. Its totient is φ = 237227520.

The previous prime is 644127629. The next prime is 644127697. The reversal of 644127640 is 46721446.

It is a super-2 number, since 2×6441276402 = 829800833223939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 644127596 and 644127605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238377 + ... + 241063.

It is an arithmetic number, because the mean of its divisors is an integer number (24449040).

Almost surely, 2644127640 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 644127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782369280).

644127640 is an abundant number, since it is smaller than the sum of its proper divisors (920610920).

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

644127640 is a wasteful number, since it uses less digits than its factorization.

644127640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 644127640 is about 25379.6698166071. The cubic root of 644127640 is about 863.6225596182.

The spelling of 644127640 in words is "six hundred forty-four million, one hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 461 520 922 1844 2305 2687 3688 4610 5374 5993 9220 10748 11986 13435 18440 21496 23972 26870 29965 34931 47944 53740 59930 69862 107480 119860 139724 174655 239720 279448 349310 698620 1238707 1397240 2477414 4954828 6193535 9909656 12387070 16103191 24774140 32206382 49548280 64412764 80515955 128825528 161031910 322063820 644127640