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82239993 = 321131127211
BaseRepresentation
bin1001110011011…
…10000111111001
312201202020001200
410321232013321
5132023134433
612054404413
72016012513
oct471560771
9181666050
1082239993
1142471140
1223660709
1314065b24
14accabb3
157347613
hex4e6e1f9

82239993 has 48 divisors (see below), whose sum is σ = 135462912. Its totient is φ = 47628000.

The previous prime is 82239991. The next prime is 82240001. The reversal of 82239993 is 39993228.

It is not a de Polignac number, because 82239993 - 21 = 82239991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82239991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389658 + ... + 389868.

It is an arithmetic number, because the mean of its divisors is an integer number (2822144).

Almost surely, 282239993 is an apocalyptic number.

It is an amenable number.

82239993 is a deficient number, since it is larger than the sum of its proper divisors (53222919).

82239993 is a wasteful number, since it uses less digits than its factorization.

82239993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 82239993 is about 9068.6268530577. The cubic root of 82239993 is about 434.8715752479.

The spelling of 82239993 in words is "eighty-two million, two hundred thirty-nine thousand, nine hundred ninety-three".

Divisors: 1 3 9 11 31 33 93 99 127 211 279 341 381 633 1023 1143 1397 1899 2321 3069 3937 4191 6541 6963 11811 12573 19623 20889 26797 35433 43307 58869 71951 80391 129921 215853 241173 294767 389763 647559 830707 884301 2492121 2652903 7476363 9137777 27413331 82239993