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40824828 = 223211103093
BaseRepresentation
bin1001101110111…
…0111111111100
32211211010010200
42123232333330
540422343303
64015003500
71004001552
oct233567774
984733120
1040824828
1121054330
1211809590
1385c5105
1455c9bd2
1538b63a3
hex26eeffc

40824828 has 36 divisors (see below), whose sum is σ = 112578648. Its totient is φ = 12371040.

The previous prime is 40824821. The next prime is 40824829. The reversal of 40824828 is 82842804.

40824828 is a `hidden beast` number, since 408 + 248 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 40824792 and 40824801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40824821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51151 + ... + 51942.

Almost surely, 240824828 is an apocalyptic number.

It is an amenable number.

40824828 is an abundant number, since it is smaller than the sum of its proper divisors (71753820).

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

40824828 is a wasteful number, since it uses less digits than its factorization.

40824828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103114 (or 103109 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 40824828 is about 6389.4309605786. The cubic root of 40824828 is about 344.3299407890.

The spelling of 40824828 in words is "forty million, eight hundred twenty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 103093 206186 309279 412372 618558 927837 1134023 1237116 1855674 2268046 3402069 3711348 4536092 6804138 10206207 13608276 20412414 40824828