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675812352 = 21031791229
BaseRepresentation
bin101000010010000…
…001010000000000
31202002122211021010
4220102001100000
52341001443402
6151021000520
722514211255
oct5022012000
91662584233
10675812352
11317529906
1216a3b3140
13aa020b87
1465a7d42c
153e4e5a6c
hex28481400

675812352 has 88 divisors (see below), whose sum is σ = 1812823200. Its totient is φ = 223830016.

The previous prime is 675812341. The next prime is 675812353. The reversal of 675812352 is 253218576.

It is a self number, because there is not a number n which added to its sum of digits gives 675812352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675812353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549274 + ... + 550502.

Almost surely, 2675812352 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 675812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906411600).

675812352 is an abundant number, since it is smaller than the sum of its proper divisors (1137010848).

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

675812352 is a wasteful number, since it uses less digits than its factorization.

675812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1413 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 675812352 is about 25996.3911341555. The cubic root of 675812352 is about 877.5570813754.

It can be divided in two parts, 6758 and 12352, that added together give a triangular number (19110 = T195).

The spelling of 675812352 in words is "six hundred seventy-five million, eight hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1024 1074 1229 1432 1536 2148 2458 2864 3072 3687 4296 4916 5728 7374 8592 9832 11456 14748 17184 19664 22912 29496 34368 39328 45824 58992 68736 78656 91648 117984 137472 157312 183296 219991 235968 274944 314624 439982 471936 549888 629248 659973 879964 943872 1258496 1319946 1759928 1887744 2639892 3519856 3775488 5279784 7039712 10559568 14079424 21119136 28158848 42238272 56317696 84476544 112635392 168953088 225270784 337906176 675812352