Search a number
-
+
40855392 = 25321271117
BaseRepresentation
bin1001101111011…
…0011101100000
32211212200001200
42123312131200
540424333032
64015401200
71004156634
oct233663540
984780050
1040855392
1121075296
1211823200
138605cb6
1455d6dc4
1538c047c
hex26f6760

40855392 has 72 divisors (see below), whose sum is σ = 117202176. Its totient is φ = 13499136.

The previous prime is 40855391. The next prime is 40855411. The reversal of 40855392 is 29355804.

40855392 is a `hidden beast` number, since 40 + 85 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40855391) 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, 36018 + ... + 37134.

It is an arithmetic number, because the mean of its divisors is an integer number (1627808).

Almost surely, 240855392 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 40855392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58601088).

40855392 is an abundant number, since it is smaller than the sum of its proper divisors (76346784).

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

40855392 is a wasteful number, since it uses less digits than its factorization.

40855392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 40855392 is about 6391.8222753766. The cubic root of 40855392 is about 344.4158482754.

The spelling of 40855392 in words is "forty million, eight hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1117 1143 1524 2032 2234 2286 3048 3351 4064 4468 4572 6096 6702 8936 9144 10053 12192 13404 17872 18288 20106 26808 35744 36576 40212 53616 80424 107232 141859 160848 283718 321696 425577 567436 851154 1134872 1276731 1702308 2269744 2553462 3404616 4539488 5106924 6809232 10213848 13618464 20427696 40855392