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40577796 = 22327237001
BaseRepresentation
bin1001101011001…
…0101100000100
32211100120021100
42122302230010
540341442141
64005420100
71001622420
oct232625404
984316240
1040577796
11209a5776
121170a630
13853983c
145563b80
1538680b6
hex26b2b04

40577796 has 72 divisors (see below), whose sum is σ = 122338944. Its totient is φ = 11088000.

The previous prime is 40577753. The next prime is 40577821. The reversal of 40577796 is 69777504.

40577796 is a `hidden beast` number, since 4 + 0 + 577 + 79 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2296 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (1699152).

Almost surely, 240577796 is an apocalyptic number.

40577796 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40577796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61169472).

40577796 is an abundant number, since it is smaller than the sum of its proper divisors (81761148).

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

40577796 is a wasteful number, since it uses less digits than its factorization.

40577796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 40577796 is about 6370.0703292821. The cubic root of 40577796 is about 343.6340190102.

The spelling of 40577796 in words is "forty million, five hundred seventy-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 7001 14002 21003 28004 42006 49007 63009 84012 98014 126018 147021 161023 196028 252036 294042 322046 441063 483069 588084 644092 882126 966138 1127161 1449207 1764252 1932276 2254322 2898414 3381483 4508644 5796828 6762966 10144449 13525932 20288898 40577796