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645993792 = 2634294297
BaseRepresentation
bin100110100000010…
…001010101000000
31200000112212220000
4212200101111000
52310333300132
6144033520000
722002566553
oct4640212500
91600485800
10645993792
11301712774
12160413000
13a3ab0662
1461b1a69a
153baa587c
hex26811540

645993792 has 140 divisors (see below), whose sum is σ = 1981420980. Its totient is φ = 207857664.

The previous prime is 645993739. The next prime is 645993793. The reversal of 645993792 is 297399546.

It can be written as a sum of positive squares in 2 ways, for example, as 342398016 + 303595776 = 18504^2 + 17424^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645993793) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148188 + ... + 152484.

It is an arithmetic number, because the mean of its divisors is an integer number (14153007).

Almost surely, 2645993792 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 645993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990710490).

645993792 is an abundant number, since it is smaller than the sum of its proper divisors (1335427188).

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

645993792 is a wasteful number, since it uses less digits than its factorization.

645993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4331 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 645993792 is about 25416.4079287377. The cubic root of 645993792 is about 864.4557780438.

The spelling of 645993792 in words is "six hundred forty-five million, nine hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4297 4698 5184 5568 6264 8352 8594 9396 12528 12891 16704 17188 18792 25056 25782 34376 37584 38673 50112 51564 68752 75168 77346 103128 116019 124613 137504 150336 154692 206256 232038 249226 275008 309384 348057 373839 412512 464076 498452 618768 696114 747678 825024 928152 996904 1121517 1237536 1392228 1495356 1856304 1993808 2243034 2475072 2784456 2990712 3364551 3712608 3987616 4486068 5568912 5981424 6729102 7425216 7975232 8972136 10093653 11137824 11962848 13458204 17944272 20187306 22275648 23925696 26916408 35888544 40374612 53832816 71777088 80749224 107665632 161498448 215331264 322996896 645993792