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10042692 = 2231176081
BaseRepresentation
bin100110010011…
…110101000100
3200220012222120
4212103311010
510032331232
6555125540
7151234662
oct46236504
920805876
1010042692
11573a250
1234438b0
13210812a
141495c32
15d3592c
hex993d44

10042692 has 24 divisors (see below), whose sum is σ = 25563552. Its totient is φ = 3043200.

The previous prime is 10042691. The next prime is 10042709. The reversal of 10042692 is 29624001.

It is not an unprimeable number, because it can be changed into a prime (10042691) 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, 37909 + ... + 38172.

It is an arithmetic number, because the mean of its divisors is an integer number (1065148).

Almost surely, 210042692 is an apocalyptic number.

10042692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042692 is an abundant number, since it is smaller than the sum of its proper divisors (15520860).

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

10042692 is a wasteful number, since it uses less digits than its factorization.

10042692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76099 (or 76097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10042692 is about 3169.0206689133. The cubic root of 10042692 is about 215.7496241557.

Adding to 10042692 its reverse (29624001), we get a palindrome (39666693).

The spelling of 10042692 in words is "ten million, forty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 76081 152162 228243 304324 456486 836891 912972 1673782 2510673 3347564 5021346 10042692