Search a number
-
+
645687378 = 232729832129
BaseRepresentation
bin100110011111000…
…110100001010010
31122222222022120100
4212133012201102
52310243444003
6144023153230
722000152330
oct4637064122
91588868510
10645687378
11301523536
121602a5816
13a3a0404b
1461a7ab50
153ba44ba3
hex267c6852

645687378 has 96 divisors (see below), whose sum is σ = 1674691200. Its totient is φ = 175891968.

The previous prime is 645687377. The next prime is 645687389. The reversal of 645687378 is 873786546.

645687378 is a `hidden beast` number, since 6 + 4 + 568 + 7 + 3 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (645687377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302218 + ... + 304346.

It is an arithmetic number, because the mean of its divisors is an integer number (17444700).

Almost surely, 2645687378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645687378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837345600).

645687378 is an abundant number, since it is smaller than the sum of its proper divisors (1029003822).

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

645687378 is a wasteful number, since it uses less digits than its factorization.

645687378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2253 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 645687378 is about 25410.3793360115. The cubic root of 645687378 is about 864.3190774297.

The spelling of 645687378 in words is "six hundred forty-five million, six hundred eighty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 83 87 126 166 174 203 249 261 406 498 522 581 609 747 1162 1218 1494 1743 1827 2129 2407 3486 3654 4258 4814 5229 6387 7221 10458 12774 14442 14903 16849 19161 21663 29806 33698 38322 43326 44709 50547 61741 89418 101094 123482 134127 151641 176707 185223 268254 303282 353414 370446 432187 530121 555669 864374 1060242 1111338 1236949 1296561 1590363 2473898 2593122 3180726 3710847 3889683 5124503 7421694 7779366 10249006 11132541 15373509 22265082 30747018 35871521 46120527 71743042 92241054 107614563 215229126 322843689 645687378