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83288004 = 22321313257
BaseRepresentation
bin1001111011011…
…01111111000100
312210201110122220
410331231333010
5132310204004
612133052340
72030636112
oct475557704
9183643586
1083288004
1143017568
1223a870b0
1314341b57
14b0c0ab2
1574a2dd9
hex4f6dfc4

83288004 has 24 divisors (see below), whose sum is σ = 194489568. Its totient is φ = 27741120.

The previous prime is 83288003. The next prime is 83288021. The reversal of 83288004 is 40088238.

It is a super-2 number, since 2×832880042 = 13873783220608032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83288003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23944 + ... + 27200.

It is an arithmetic number, because the mean of its divisors is an integer number (8103732).

Almost surely, 283288004 is an apocalyptic number.

It is an amenable number.

83288004 is an abundant number, since it is smaller than the sum of its proper divisors (111201564).

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

83288004 is a wasteful number, since it uses less digits than its factorization.

83288004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 83288004 is about 9126.2261641930. The cubic root of 83288004 is about 436.7110203637.

The spelling of 83288004 in words is "eighty-three million, two hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 12 2131 3257 4262 6393 6514 8524 9771 12786 13028 19542 25572 39084 6940667 13881334 20822001 27762668 41644002 83288004