Search a number
-
+
40537760 = 255253361
BaseRepresentation
bin1001101010100…
…0111010100000
32211021112100112
42122220322200
540334202020
64004510452
71001364614
oct232507240
984245315
1040537760
112097868a
12116ab428
138524553
145553344
15385b2c5
hex26a8ea0

40537760 has 24 divisors (see below), whose sum is σ = 95770836. Its totient is φ = 16215040.

The previous prime is 40537759. The next prime is 40537771. The reversal of 40537760 is 6773504.

It can be written as a sum of positive squares in 2 ways, for example, as 38588944 + 1948816 = 6212^2 + 1396^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126521 + ... + 126840.

Almost surely, 240537760 is an apocalyptic number.

40537760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40537760 is an abundant number, since it is smaller than the sum of its proper divisors (55233076).

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

40537760 is a wasteful number, since it uses less digits than its factorization.

40537760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253376 (or 253368 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 40537760 is about 6366.9270452864. The cubic root of 40537760 is about 343.5209665521.

The spelling of 40537760 in words is "forty million, five hundred thirty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 253361 506722 1013444 1266805 2026888 2533610 4053776 5067220 8107552 10134440 20268880 40537760