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83129144 = 2371484449
BaseRepresentation
bin1001111010001…
…11001100111000
312210102101202012
410331013030320
5132240113034
612125425052
72026405010
oct475071470
9183371665
1083129144
1142a1917a
1223a0b188
13142b7757
14b07cc40
157470cce
hex4f47338

83129144 has 16 divisors (see below), whose sum is σ = 178134000. Its totient is φ = 35626752.

The previous prime is 83129141. The next prime is 83129149. The reversal of 83129144 is 44192138.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83129144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83129141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 742169 + ... + 742280.

It is an arithmetic number, because the mean of its divisors is an integer number (11133375).

Almost surely, 283129144 is an apocalyptic number.

It is an amenable number.

83129144 is an abundant number, since it is smaller than the sum of its proper divisors (95004856).

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

83129144 is a wasteful number, since it uses less digits than its factorization.

83129144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484462 (or 1484458 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 83129144 is about 9117.5185220541. The cubic root of 83129144 is about 436.4331889659.

The spelling of 83129144 in words is "eighty-three million, one hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 1484449 2968898 5937796 10391143 11875592 20782286 41564572 83129144