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812853640 = 235174612593
BaseRepresentation
bin110000011100110…
…010100110001000
32002122112020120101
4300130302212020
53131042304030
6212354135144
726100066454
oct6034624610
92078466511
10812853640
1138791aa75
121a82814b4
13cc5335b1
1479d53664
154b5657ca
hex30732988

812853640 has 64 divisors (see below), whose sum is σ = 1941453360. Its totient is φ = 305233920.

The previous prime is 812853637. The next prime is 812853677. The reversal of 812853640 is 46358218.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 436726404 + 376127236 = 20898^2 + 19394^2 .

It is a super-2 number, since 2×8128536402 = 1321462080122499200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 812853640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312184 + ... + 314776.

Almost surely, 2812853640 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 812853640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970726680).

812853640 is an abundant number, since it is smaller than the sum of its proper divisors (1128599720).

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

812853640 is a wasteful number, since it uses less digits than its factorization.

812853640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 812853640 is about 28510.5882085937. The cubic root of 812853640 is about 933.2631506184.

The spelling of 812853640 in words is "eight hundred twelve million, eight hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 461 680 922 1844 2305 2593 3688 4610 5186 7837 9220 10372 12965 15674 18440 20744 25930 31348 39185 44081 51860 62696 78370 88162 103720 156740 176324 220405 313480 352648 440810 881620 1195373 1763240 2390746 4781492 5976865 9562984 11953730 20321341 23907460 40642682 47814920 81285364 101606705 162570728 203213410 406426820 812853640