Search a number
-
+
82537000924 = 22729021101573
BaseRepresentation
bin100110011011110010…
…1101010111111011100
321220001010221002000011
41030313211222333130
52323013433012144
6101530022213004
75651225634520
oct1146745527734
9256033832004
1082537000924
1132004a92464
1213bb5584164
137a2491a9b1
143dcda9bd80
1522310a7a34
hex133796afdc

82537000924 has 24 divisors (see below), whose sum is σ = 165081315168. Its totient is φ = 35371433280.

The previous prime is 82537000919. The next prime is 82537000927. The reversal of 82537000924 is 42900073528.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82537000927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761802 + ... + 863374.

It is an arithmetic number, because the mean of its divisors is an integer number (6878388132).

Almost surely, 282537000924 is an apocalyptic number.

It is an amenable number.

82537000924 is an abundant number, since it is smaller than the sum of its proper divisors (82544314244).

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

82537000924 is a wasteful number, since it uses less digits than its factorization.

82537000924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130605 (or 130603 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 82537000924 in words is "eighty-two billion, five hundred thirty-seven million, nine hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 29021 58042 101573 116084 203146 203147 406292 406294 711011 812588 1422022 2844044 2947750033 5895500066 11791000132 20634250231 41268500462 82537000924