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70085952 = 263340559
BaseRepresentation
bin1000010110101…
…10110101000000
311212212201212000
410023112311000
5120420222302
610542104000
71510502136
oct413266500
9155781760
1070085952
113661a682
121b57b000
131169b9a1
149445756
15624631c
hex42d6d40

70085952 has 56 divisors (see below), whose sum is σ = 206044800. Its totient is φ = 23361408.

The previous prime is 70085941. The next prime is 70085957. The reversal of 70085952 is 25958007.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70085957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18552 + ... + 22007.

Almost surely, 270085952 is an apocalyptic number.

70085952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

70085952 is an abundant number, since it is smaller than the sum of its proper divisors (135958848).

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

70085952 is a wasteful number, since it uses less digits than its factorization.

70085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40580 (or 40564 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 70085952 is about 8371.7353039857. The cubic root of 70085952 is about 412.2971432319.

The spelling of 70085952 in words is "seventy million, eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 40559 81118 121677 162236 243354 324472 365031 486708 648944 730062 973416 1095093 1297888 1460124 1946832 2190186 2595776 2920248 3893664 4380372 5840496 7787328 8760744 11680992 17521488 23361984 35042976 70085952