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40582920 = 2335748313
BaseRepresentation
bin1001101011001…
…1111100001000
32211100211022010
42122303330020
540342123140
64005455520
71001643360
oct232637410
984324263
1040582920
11209a9604
12117115a0
13853bc81
1455659a0
153869880
hex26b3f08

40582920 has 64 divisors (see below), whose sum is σ = 139144320. Its totient is φ = 9275904.

The previous prime is 40582909. The next prime is 40582921. The reversal of 40582920 is 2928504.

40582920 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 (30).

It is not an unprimeable number, because it can be changed into a prime (40582921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23317 + ... + 24996.

It is an arithmetic number, because the mean of its divisors is an integer number (2174130).

Almost surely, 240582920 is an apocalyptic number.

40582920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40582920 is an abundant number, since it is smaller than the sum of its proper divisors (98561400).

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

40582920 is a wasteful number, since it uses less digits than its factorization.

40582920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48334 (or 48330 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40582920 is about 6370.4725099478. The cubic root of 40582920 is about 343.6484826396.

The spelling of 40582920 in words is "forty million, five hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 48313 96626 144939 193252 241565 289878 338191 386504 483130 579756 676382 724695 966260 1014573 1159512 1352764 1449390 1690955 1932520 2029146 2705528 2898780 3381910 4058292 5072865 5797560 6763820 8116584 10145730 13527640 20291460 40582920