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73469052 = 2233792109
BaseRepresentation
bin1000110000100…
…00110001111100
312010020121121000
410120100301330
5122302002202
611142410300
71551322326
oct430206174
9163217530
1073469052
1138520428
1220730990
13122b4817
149a86616
1566b391c
hex4610c7c

73469052 has 72 divisors (see below), whose sum is σ = 194686800. Its totient is φ = 23957856.

The previous prime is 73469047. The next prime is 73469057. The reversal of 73469052 is 25096437.

It is an interprime number because it is at equal distance from previous prime (73469047) and next prime (73469057).

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

It is a junction number, because it is equal to n+sod(n) for n = 73468998 and 73469016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73469057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673974 + ... + 674082.

Almost surely, 273469052 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 73469052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97343400).

73469052 is an abundant number, since it is smaller than the sum of its proper divisors (121217748).

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

73469052 is a wasteful number, since it uses less digits than its factorization.

73469052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 73469052 is about 8571.4089856919. The cubic root of 73469052 is about 418.8271359499.

The spelling of 73469052 in words is "seventy-three million, four hundred sixty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 109 158 218 237 316 327 436 474 654 711 948 981 1308 1422 1962 2133 2844 2943 3924 4266 5886 6241 8532 8611 11772 12482 17222 18723 24964 25833 34444 37446 51666 56169 74892 77499 103332 112338 154998 168507 224676 232497 309996 337014 464994 674028 680269 929988 1360538 2040807 2721076 4081614 6122421 8163228 12244842 18367263 24489684 36734526 73469052