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40561352 = 23132191579
BaseRepresentation
bin1001101010111…
…0101011001000
32211022201201022
42122232223020
540340430402
64005212012
71001523446
oct232565310
984281638
1040561352
1120994387
1211701008
138532200
14555bb96
1538632a2
hex26aeac8

40561352 has 48 divisors (see below), whose sum is σ = 86742000. Its totient is φ = 17724096.

The previous prime is 40561319. The next prime is 40561363. The reversal of 40561352 is 25316504.

40561352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 13.

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 11 ways as a sum of consecutive naturals, for example, 24899 + ... + 26477.

It is an arithmetic number, because the mean of its divisors is an integer number (1807125).

Almost surely, 240561352 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 40561352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43371000).

40561352 is an abundant number, since it is smaller than the sum of its proper divisors (46180648).

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

40561352 is a wasteful number, since it uses less digits than its factorization.

40561352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 40561352 is about 6368.7794749073. The cubic root of 40561352 is about 343.5875939383.

Adding to 40561352 its reverse (25316504), we get a palindrome (65877856).

The spelling of 40561352 in words is "forty million, five hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 494 676 988 1352 1579 1976 3158 3211 6316 6422 12632 12844 20527 25688 30001 41054 60002 82108 120004 164216 240008 266851 390013 533702 780026 1067404 1560052 2134808 3120104 5070169 10140338 20280676 40561352