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644680500 = 223531093943
BaseRepresentation
bin100110011011010…
…000101100110100
31122221002011101120
4212123100230310
52310014234000
6143545423540
721655456662
oct4633205464
91587064346
10644680500
113009a6002
1215ba9abb0
13a3740969
1461897c32
153b8e66a0
hex266d0b34

644680500 has 96 divisors (see below), whose sum is σ = 1895013120. Its totient is φ = 170294400.

The previous prime is 644680483. The next prime is 644680541. The reversal of 644680500 is 5086446.

It is a happy number.

It is a super-2 number, since 2×6446805002 = 831225894160500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161529 + ... + 165471.

It is an arithmetic number, because the mean of its divisors is an integer number (19739720).

Almost surely, 2644680500 is an apocalyptic number.

644680500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644680500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947506560).

644680500 is an abundant number, since it is smaller than the sum of its proper divisors (1250332620).

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

644680500 is a wasteful number, since it uses less digits than its factorization.

644680500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 644680500 is about 25390.5592691457. The cubic root of 644680500 is about 863.8695737194.

The spelling of 644680500 in words is "six hundred forty-four million, six hundred eighty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 125 150 218 250 300 327 375 436 500 545 654 750 1090 1308 1500 1635 2180 2725 3270 3943 5450 6540 7886 8175 10900 11829 13625 15772 16350 19715 23658 27250 32700 39430 40875 47316 54500 59145 78860 81750 98575 118290 163500 197150 236580 295725 394300 429787 492875 591450 859574 985750 1182900 1289361 1478625 1719148 1971500 2148935 2578722 2957250 4297870 5157444 5914500 6446805 8595740 10744675 12893610 21489350 25787220 32234025 42978700 53723375 64468050 107446750 128936100 161170125 214893500 322340250 644680500