Search a number
-
+
40758240 = 253584913
BaseRepresentation
bin1001101101111…
…0101111100000
32211200201210110
42123132233200
540413230430
64013331320
71003303455
oct233365740
984621713
1040758240
11210092a6
1211796b40
1385a0a03
1455ad82c
1538a17b0
hex26debe0

40758240 has 48 divisors (see below), whose sum is σ = 128389968. Its totient is φ = 10868736.

The previous prime is 40758239. The next prime is 40758251. The reversal of 40758240 is 4285704.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×407582402 = 3322468255795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40758198 and 40758207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41977 + ... + 42936.

It is an arithmetic number, because the mean of its divisors is an integer number (2674791).

Almost surely, 240758240 is an apocalyptic number.

40758240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40758240 is an abundant number, since it is smaller than the sum of its proper divisors (87631728).

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

40758240 is a wasteful number, since it uses less digits than its factorization.

40758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84931 (or 84923 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 40758240 is about 6384.2180413893. The cubic root of 40758240 is about 344.1426305960.

The spelling of 40758240 in words is "forty million, seven hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 84913 169826 254739 339652 424565 509478 679304 849130 1018956 1273695 1358608 1698260 2037912 2547390 2717216 3396520 4075824 5094780 6793040 8151648 10189560 13586080 20379120 40758240