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655138944 = 27325571021
BaseRepresentation
bin100111000011001…
…010000010000000
31200122202111200100
4213003022002000
52320203421234
6145001522400
722143406035
oct4703120200
91618674610
10655138944
11306899649
121634a3400
13a59630a5
146301b38c
153c7b0399
hex270ca080

655138944 has 96 divisors (see below), whose sum is σ = 1890464940. Its totient is φ = 217774080.

The previous prime is 655138933. The next prime is 655138949. The reversal of 655138944 is 449831556.

655138944 is a `hidden beast` number, since 6 + 551 + 3 + 8 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 629006400 + 26132544 = 25080^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×6551389444 (a number of 36 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 655138944.

It is not an unprimeable number, because it can be changed into a prime (655138949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 641154 + ... + 642174.

Almost surely, 2655138944 is an apocalyptic number.

655138944 is a gapful number since it is divisible by the number (64) 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 655138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945232470).

655138944 is an abundant number, since it is smaller than the sum of its proper divisors (1235325996).

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

655138944 is a wasteful number, since it uses less digits than its factorization.

655138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1583 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 655138944 is about 25595.6821358603. The cubic root of 655138944 is about 868.5159638438.

The spelling of 655138944 in words is "six hundred fifty-five million, one hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 557 576 1021 1114 1152 1671 2042 2228 3063 3342 4084 4456 5013 6126 6684 8168 8912 9189 10026 12252 13368 16336 17824 18378 20052 24504 26736 32672 35648 36756 40104 49008 53472 65344 71296 73512 80208 98016 106944 130688 147024 160416 196032 213888 294048 320832 392064 568697 588096 641664 1137394 1176192 1706091 2274788 3412182 4549576 5118273 6824364 9099152 10236546 13648728 18198304 20473092 27297456 36396608 40946184 54594912 72793216 81892368 109189824 163784736 218379648 327569472 655138944