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10542888 = 2332181809
BaseRepresentation
bin101000001101…
…111100101000
3201211122010100
4220031330220
510144333023
61013545400
7155420166
oct50157450
921748110
1010542888
115a51034
123645260
1322519c5
141586236
15dd3c43
hexa0df28

10542888 has 48 divisors (see below), whose sum is σ = 28746900. Its totient is φ = 3490560.

The previous prime is 10542823. The next prime is 10542893. The reversal of 10542888 is 88824501.

It can be written as a sum of positive squares in 2 ways, for example, as 10381284 + 161604 = 3222^2 + 402^2 .

It is a super-2 number, since 2×105428882 = 222304974761088, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12628 + ... + 13436.

Almost surely, 210542888 is an apocalyptic number.

10542888 is a gapful number since it is divisible by the number (18) 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 10542888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373450).

10542888 is an abundant number, since it is smaller than the sum of its proper divisors (18204012).

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

10542888 is a wasteful number, since it uses less digits than its factorization.

10542888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 10542888 is about 3246.9813673626. The cubic root of 10542888 is about 219.2736929661.

The spelling of 10542888 in words is "ten million, five hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 809 1086 1448 1618 1629 2172 2427 3236 3258 4344 4854 6472 6516 7281 9708 13032 14562 19416 29124 58248 146429 292858 439287 585716 878574 1171432 1317861 1757148 2635722 3514296 5271444 10542888