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10040892 = 2231947937
BaseRepresentation
bin100110010011…
…011000111100
3200220010111220
4212103120330
510032302032
6555113340
7151226511
oct46233074
920803456
1010040892
115738964
123442850
132107374
141495308
15d3512c
hex99363c

10040892 has 48 divisors (see below), whose sum is σ = 25213440. Its totient is φ = 3100032.

The previous prime is 10040881. The next prime is 10040917. The reversal of 10040892 is 29804001.

10040892 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 10248 + ... + 11184.

It is an arithmetic number, because the mean of its divisors is an integer number (525280).

Almost surely, 210040892 is an apocalyptic number.

10040892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606720).

10040892 is an abundant number, since it is smaller than the sum of its proper divisors (15172548).

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

10040892 is a wasteful number, since it uses less digits than its factorization.

10040892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10040892 is about 3168.7366567766. The cubic root of 10040892 is about 215.7367334379.

Adding to 10040892 its reverse (29804001), we get a palindrome (39844893).

The spelling of 10040892 in words is "ten million, forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 937 1786 1874 2679 2811 3572 3748 5358 5622 10716 11244 17803 35606 44039 53409 71212 88078 106818 132117 176156 213636 264234 528468 836741 1673482 2510223 3346964 5020446 10040892