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40240144 = 247536779
BaseRepresentation
bin1001100110000…
…0010000010000
32210201102002201
42121200100100
540300141034
63554252544
7666015130
oct231402020
983642081
1040240144
112079501a
1211587154
13844bc49
1454b6ac0
1537ed014
hex2660410

40240144 has 40 divisors (see below), whose sum is σ = 90797760. Its totient is φ = 16917888.

The previous prime is 40240129. The next prime is 40240163. The reversal of 40240144 is 44104204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2547 + ... + 9325.

It is an arithmetic number, because the mean of its divisors is an integer number (2269944).

Almost surely, 240240144 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 40240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45398880).

40240144 is an abundant number, since it is smaller than the sum of its proper divisors (50557616).

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

40240144 is a wasteful number, since it uses less digits than its factorization.

40240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 40240144 is about 6343.5119610512. The cubic root of 40240144 is about 342.6782250354.

Adding to 40240144 its reverse (44104204), we get a palindrome (84344348).

The spelling of 40240144 in words is "forty million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 6779 13558 27116 47453 54232 94906 108464 189812 359287 379624 718574 759248 1437148 2515009 2874296 5030018 5748592 10060036 20120072 40240144