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82437921 = 324125449
BaseRepresentation
bin1001110100111…
…10011100100001
312202010021120100
410322132130201
5132101003141
612102533013
72020465536
oct472363441
9182107510
1082437921
1142596915
1223737169
1314104c47
14ad3cd8d
1573860b6
hex4e9e721

82437921 has 18 divisors (see below), whose sum is σ = 122074550. Its totient is φ = 53608320.

The previous prime is 82437919. The next prime is 82437931. The reversal of 82437921 is 12973428.

It can be written as a sum of positive squares in 3 ways, for example, as 12531600 + 69906321 = 3540^2 + 8361^2 .

It is not a de Polignac number, because 82437921 - 21 = 82437919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82437931) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12405 + ... + 17853.

Almost surely, 282437921 is an apocalyptic number.

It is an amenable number.

82437921 is a deficient number, since it is larger than the sum of its proper divisors (39636629).

82437921 is a wasteful number, since it uses less digits than its factorization.

82437921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5493 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 82437921 is about 9079.5330827086. The cubic root of 82437921 is about 435.2201659963.

The spelling of 82437921 in words is "eighty-two million, four hundred thirty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 41 123 369 1681 5043 5449 15129 16347 49041 223409 670227 2010681 9159769 27479307 82437921