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83045144 = 23713114073
BaseRepresentation
bin1001111001100…
…10101100011000
312210021010112002
410330302230120
5132224421034
612123540132
72025605060
oct474625430
9183233462
1083045144
1142971056
122398a648
1314288450
14b05a3a0
157455e7e
hex4f32b18

83045144 has 32 divisors (see below), whose sum is σ = 191644320. Its totient is φ = 32852736.

The previous prime is 83045141. The next prime is 83045147. The reversal of 83045144 is 44154038.

It is an interprime number because it is at equal distance from previous prime (83045141) and next prime (83045147).

It is a hoax number, since the sum of its digits (29) 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 (83045141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56309 + ... + 57764.

It is an arithmetic number, because the mean of its divisors is an integer number (5988885).

Almost surely, 283045144 is an apocalyptic number.

It is an amenable number.

83045144 is an abundant number, since it is smaller than the sum of its proper divisors (108599176).

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

83045144 is a wasteful number, since it uses less digits than its factorization.

83045144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114099 (or 114095 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 83045144 is about 9112.9108412186. The cubic root of 83045144 is about 436.2861376785.

The spelling of 83045144 in words is "eighty-three million, forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 114073 228146 456292 798511 912584 1482949 1597022 2965898 3194044 5931796 6388088 10380643 11863592 20761286 41522572 83045144