Search a number
-
+
645506736 = 243737137379
BaseRepresentation
bin100110011110011…
…010011010110000
31122222122010202220
4212132122122300
52310222203421
6144015241040
721665500560
oct4636323260
91588563686
10645506736
1130140a846
12160219180
13a396ca64
1461a30da0
153ba0b3c6
hex2679a6b0

645506736 has 160 divisors (see below), whose sum is σ = 1976778240. Its totient is φ = 177666048.

The previous prime is 645506731. The next prime is 645506749. The reversal of 645506736 is 637605546.

645506736 = 632 + 642 + ... + 12462.

645506736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (645506731) 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, 1702995 + ... + 1703373.

It is an arithmetic number, because the mean of its divisors is an integer number (12354864).

Almost surely, 2645506736 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 645506736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988389120).

645506736 is an abundant number, since it is smaller than the sum of its proper divisors (1331271504).

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

645506736 is a wasteful number, since it uses less digits than its factorization.

645506736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 645506736 is about 25406.8245949784. The cubic root of 645506736 is about 864.2384672694.

The spelling of 645506736 in words is "six hundred forty-five million, five hundred six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 137 148 168 222 259 274 296 336 379 411 444 518 548 592 758 777 822 888 959 1036 1096 1137 1516 1554 1644 1776 1918 2072 2192 2274 2653 2877 3032 3108 3288 3836 4144 4548 5069 5306 5754 6064 6216 6576 7672 7959 9096 10138 10612 11508 12432 14023 15207 15344 15918 18192 20276 21224 23016 28046 30414 31836 35483 40552 42069 42448 46032 51923 56092 60828 63672 70966 81104 84138 98161 103846 106449 112184 121656 127344 141932 155769 168276 196322 207692 212898 224368 243312 283864 294483 311538 336552 363461 392644 415384 425796 567728 588966 623076 673104 726922 785288 830768 851592 1090383 1177932 1246152 1453844 1570576 1703184 1921151 2180766 2355864 2492304 2907688 3842302 4361532 4711728 5763453 5815376 7684604 8723064 11526906 13448057 15369208 17446128 23053812 26896114 30738416 40344171 46107624 53792228 80688342 92215248 107584456 161376684 215168912 322753368 645506736