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40583052 = 22336132
BaseRepresentation
bin1001101011001…
…1111110001100
32211100211111000
42122303332030
540342124202
64005500300
71001643636
oct232637614
984324430
1040583052
11209a9714
1211711690
13853c053
145565a56
15386991c
hex26b3f8c

40583052 has 36 divisors (see below), whose sum is σ = 105387240. Its totient is φ = 13505616.

The previous prime is 40583051. The next prime is 40583057. The reversal of 40583052 is 25038504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40583051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65898 + ... + 66510.

Almost surely, 240583052 is an apocalyptic number.

It is an amenable number.

40583052 is an abundant number, since it is smaller than the sum of its proper divisors (64804188).

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

40583052 is an equidigital number, since it uses as much as digits as its factorization.

40583052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40583052 is about 6370.4828702383. The cubic root of 40583052 is about 343.6488552229.

Multiplying 40583052 by its sum of digits (27), we get a square (1095742404 = 331022).

40583052 divided by its sum of digits (27) gives a square (1503076 = 12262).

Multiplying 40583052 by its product of nonzero digits (4800), we get a square (194798649600 = 4413602).

The spelling of 40583052 in words is "forty million, five hundred eighty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 613 1226 1839 2452 3678 5517 7356 11034 16551 22068 33102 66204 375769 751538 1127307 1503076 2254614 3381921 4509228 6763842 10145763 13527684 20291526 40583052