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644025720 = 2335132931409
BaseRepresentation
bin100110011000110…
…000110101111000
31122212211220012110
4212120300311320
52304332310340
6143523412320
721650062002
oct4630606570
91585756173
10644025720
11300599068
1215b8240a0
13a3571910
1461767372
153b817680
hex26630d78

644025720 has 128 divisors (see below), whose sum is σ = 2089281600. Its totient is φ = 157876224.

The previous prime is 644025719. The next prime is 644025727. The reversal of 644025720 is 27520446.

It is a super-5 number, since 5×6440257205 (a number of 45 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644025727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456376 + ... + 457784.

Almost surely, 2644025720 is an apocalyptic number.

644025720 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 644025720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044640800).

644025720 is an abundant number, since it is smaller than the sum of its proper divisors (1445255880).

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

644025720 is a wasteful number, since it uses less digits than its factorization.

644025720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 644025720 is about 25377.6618308307. The cubic root of 644025720 is about 863.5770070244.

The spelling of 644025720 in words is "six hundred forty-four million, twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 293 312 390 520 586 780 879 1172 1409 1465 1560 1758 2344 2818 2930 3516 3809 4227 4395 5636 5860 7032 7045 7618 8454 8790 11272 11427 11720 14090 15236 16908 17580 18317 19045 21135 22854 28180 30472 33816 35160 36634 38090 42270 45708 54951 56360 57135 73268 76180 84540 91416 91585 109902 114270 146536 152360 169080 183170 219804 228540 274755 366340 412837 439608 457080 549510 732680 825674 1099020 1238511 1651348 2064185 2198040 2477022 3302696 4128370 4954044 5366881 6192555 8256740 9908088 10733762 12385110 16100643 16513480 21467524 24770220 26834405 32201286 42935048 49540440 53668810 64402572 80503215 107337620 128805144 161006430 214675240 322012860 644025720