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40768884 = 22321326701
BaseRepresentation
bin1001101110000…
…1010101110100
32211201021101200
42123201111310
540414101014
64013452500
71003346502
oct233412564
984637350
1040768884
11210162a2
12117a1130
1385a5800
1455b3672
1538a4a09
hex26e1574

40768884 has 54 divisors (see below), whose sum is σ = 111608406. Its totient is φ = 12542400.

The previous prime is 40768879. The next prime is 40768891. The reversal of 40768884 is 48886704.

40768884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 90000 + 40678884 = 300^2 + 6378^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2734 + ... + 9434.

Almost surely, 240768884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40768884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55804203).

40768884 is an abundant number, since it is smaller than the sum of its proper divisors (70839522).

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

40768884 is a wasteful number, since it uses less digits than its factorization.

40768884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 40768884 is about 6385.0516051164. The cubic root of 40768884 is about 344.1725855641.

The spelling of 40768884 in words is "forty million, seven hundred sixty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 6701 13402 20103 26804 40206 60309 80412 87113 120618 174226 241236 261339 348452 522678 784017 1045356 1132469 1568034 2264938 3136068 3397407 4529876 6794814 10192221 13589628 20384442 40768884