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40844364 = 22311417547
BaseRepresentation
bin1001101111001…
…1110001001100
32211212002221020
42123303301030
540424004424
64015234140
71004112531
oct233636114
984762836
1040844364
1121067a80
1211818950
138600c82
1455d2d88
1538bc079
hex26f3c4c

40844364 has 48 divisors (see below), whose sum is σ = 106517376. Its totient is φ = 12073600.

The previous prime is 40844351. The next prime is 40844381. The reversal of 40844364 is 46344804.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1639 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (2219112).

Almost surely, 240844364 is an apocalyptic number.

40844364 is a gapful number since it is divisible by the number (44) 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 40844364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53258688).

40844364 is an abundant number, since it is smaller than the sum of its proper divisors (65673012).

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

40844364 is a wasteful number, since it uses less digits than its factorization.

40844364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 40844364 is about 6390.9595523677. The cubic root of 40844364 is about 344.3848563664.

It can be divided in two parts, 4084 and 4364, that added together give a palindrome (8448).

The spelling of 40844364 in words is "forty million, eight hundred forty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 7547 15094 22641 30188 45282 83017 90564 166034 249051 309427 332068 498102 618854 928281 996204 1237708 1856562 3403697 3713124 6807394 10211091 13614788 20422182 40844364