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795252240 = 243251104517
BaseRepresentation
bin101111011001101…
…001011000010000
32001102101222222200
4233121221120100
53112041032430
6210525003200
725464350436
oct5731513020
92042358880
10795252240
11378998862
121a23b3500
13c89acb73
1477890d56
1549c3a460
hex2f669610

795252240 has 60 divisors (see below), whose sum is σ = 2670724524. Its totient is φ = 212067072.

The previous prime is 795252233. The next prime is 795252251. The reversal of 795252240 is 42252597.

It is a happy number.

795252240 is a `hidden beast` number, since 7 + 95 + 2 + 522 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427993344 + 367258896 = 20688^2 + 19164^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×7952522402 = 1264852250450035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 795252195 and 795252204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551539 + ... + 552978.

Almost surely, 2795252240 is an apocalyptic number.

It is an amenable number.

795252240 is an abundant number, since it is smaller than the sum of its proper divisors (1875472284).

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

795252240 is a wasteful number, since it uses less digits than its factorization.

795252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104536 (or 1104527 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 795252240 is about 28200.2170204415. The cubic root of 795252240 is about 926.4776926617.

The spelling of 795252240 in words is "seven hundred ninety-five million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1104517 2209034 3313551 4418068 5522585 6627102 8836136 9940653 11045170 13254204 16567755 17672272 19881306 22090340 26508408 33135510 39762612 44180680 49703265 53016816 66271020 79525224 88361360 99406530 132542040 159050448 198813060 265084080 397626120 795252240