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83553372 = 223271312531
BaseRepresentation
bin1001111101011…
…10110001011100
312211012221200100
410332232301130
5132342201442
612142501100
72033122560
oct476566134
9184187610
1083553372
1143188981
1223b94790
1314405886
14b14d6a0
15750684c
hex4faec5c

83553372 has 72 divisors (see below), whose sum is σ = 243315072. Its totient is φ = 23680800.

The previous prime is 83553341. The next prime is 83553373. The reversal of 83553372 is 27335538.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83553373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31747 + ... + 34277.

It is an arithmetic number, because the mean of its divisors is an integer number (3379376).

Almost surely, 283553372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83553372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121657536).

83553372 is an abundant number, since it is smaller than the sum of its proper divisors (159761700).

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

83553372 is a wasteful number, since it uses less digits than its factorization.

83553372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2674 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 83553372 is about 9140.7533606372. The cubic root of 83553372 is about 437.1743374557.

The spelling of 83553372 in words is "eighty-three million, five hundred fifty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2531 2751 3668 4716 5062 5502 7593 8253 10124 11004 15186 16506 17717 22779 30372 33012 35434 45558 53151 70868 91116 106302 159453 212604 318906 331561 637812 663122 994683 1326244 1989366 2320927 2984049 3978732 4641854 5968098 6962781 9283708 11936196 13925562 20888343 27851124 41776686 83553372