Search a number
-
+
20082496 = 267231949
BaseRepresentation
bin100110010011…
…0111101000000
31101210022000011
41030212331000
520120114441
61554234304
7332461360
oct114467500
941708004
1020082496
1110377305
126885994
134211b45
14294a9a0
151b6a581
hex1326f40

20082496 has 56 divisors (see below), whose sum is σ = 47548800. Its totient is φ = 8228352.

The previous prime is 20082443. The next prime is 20082499. The reversal of 20082496 is 69428002.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20082499) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9330 + ... + 11278.

Almost surely, 220082496 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 20082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774400).

20082496 is an abundant number, since it is smaller than the sum of its proper divisors (27466304).

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

20082496 is a wasteful number, since it uses less digits than its factorization.

20082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 20082496 is about 4481.3497966573. The cubic root of 20082496 is about 271.8144640135.

The spelling of 20082496 in words is "twenty million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 1949 2576 3898 5152 7796 10304 13643 15592 27286 31184 44827 54572 62368 89654 109144 124736 179308 218288 313789 358616 436576 627578 717232 873152 1255156 1434464 2510312 2868928 5020624 10041248 20082496