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644499040 = 25597131317
BaseRepresentation
bin100110011010100…
…100011001100000
31122220201221110211
4212122210121200
52304442432130
6143541503504
721654102643
oct4632443140
91586657424
10644499040
11300891739
1215ba11b94
13a36a91a3
146184ba5a
153b8aca2a
hex266a4660

644499040 has 96 divisors (see below), whose sum is σ = 1554958944. Its totient is φ = 252395520.

The previous prime is 644499029. The next prime is 644499043. The reversal of 644499040 is 40994446.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 644498984 and 644499002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644499043) 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, 2032962 + ... + 2033278.

It is an arithmetic number, because the mean of its divisors is an integer number (16197489).

Almost surely, 2644499040 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 644499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777479472).

644499040 is an abundant number, since it is smaller than the sum of its proper divisors (910459904).

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

644499040 is a wasteful number, since it uses less digits than its factorization.

644499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 644499040 is about 25386.9856422538. The cubic root of 644499040 is about 863.7885141957.

The spelling of 644499040 in words is "six hundred forty-four million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 131 160 194 262 317 388 485 524 634 655 776 970 1048 1268 1310 1552 1585 1940 2096 2536 2620 3104 3170 3880 4192 5072 5240 6340 7760 10144 10480 12680 12707 15520 20960 25360 25414 30749 41527 50720 50828 61498 63535 83054 101656 122996 127070 153745 166108 203312 207635 245992 254140 307490 332216 406624 415270 491984 508280 614980 664432 830540 983968 1016560 1229960 1328864 1661080 2033120 2459920 3322160 4028119 4919840 6644320 8056238 16112476 20140595 32224952 40281190 64449904 80562380 128899808 161124760 322249520 644499040