Search a number
-
+
73838232 = 23321378887
BaseRepresentation
bin1000110011010…
…10111010011000
312010221101000100
410121222322120
5122400310412
611154335400
71554420546
oct431527230
9163841010
1073838232
1138752836
122088a560
13123b3880
149b40d96
156737edc
hex466ae98

73838232 has 48 divisors (see below), whose sum is σ = 215364240. Its totient is φ = 22719168.

The previous prime is 73838231. The next prime is 73838287. The reversal of 73838232 is 23283837.

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 (73838231) 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 11 ways as a sum of consecutive naturals, for example, 38508 + ... + 40379.

It is an arithmetic number, because the mean of its divisors is an integer number (4486755).

Almost surely, 273838232 is an apocalyptic number.

73838232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73838232 is an abundant number, since it is smaller than the sum of its proper divisors (141526008).

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

73838232 is a wasteful number, since it uses less digits than its factorization.

73838232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78912 (or 78905 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 73838232 is about 8592.9175487724. The cubic root of 73838232 is about 419.5274958384.

The spelling of 73838232 in words is "seventy-three million, eight hundred thirty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 78887 157774 236661 315548 473322 631096 709983 946644 1025531 1419966 1893288 2051062 2839932 3076593 4102124 5679864 6153186 8204248 9229779 12306372 18459558 24612744 36919116 73838232