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473328072 = 233271138311
BaseRepresentation
bin11100001101100…
…110100111001000
31012222122120001100
4130031212213020
51432132444242
6114545021400
714505136140
oct3415464710
91188576040
10473328072
112231aa428
12112624860
13770a6ba9
1446c11920
152b84a54c
hex1c3669c8

473328072 has 96 divisors (see below), whose sum is σ = 1478206080. Its totient is φ = 134023680.

The previous prime is 473328043. The next prime is 473328091. The reversal of 473328072 is 270823374.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52797 + ... + 61107.

It is an arithmetic number, because the mean of its divisors is an integer number (15397980).

Almost surely, 2473328072 is an apocalyptic number.

473328072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473328072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739103040).

473328072 is an abundant number, since it is smaller than the sum of its proper divisors (1004878008).

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

473328072 is a wasteful number, since it uses less digits than its factorization.

473328072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 473328072 is about 21756.1042468545. The cubic root of 473328072 is about 779.3288506845.

The spelling of 473328072 in words is "four hundred seventy-three million, three hundred twenty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1356 1582 2034 2373 2712 3164 4068 4746 6328 7119 8136 8311 9492 14238 16622 18984 24933 28476 33244 49866 56952 58177 66488 74799 99732 116354 149598 174531 199464 232708 299196 349062 465416 523593 598392 698124 939143 1047186 1396248 1878286 2094372 2817429 3756572 4188744 5634858 6574001 7513144 8452287 11269716 13148002 16904574 19722003 22539432 26296004 33809148 39444006 52592008 59166009 67618296 78888012 118332018 157776024 236664036 473328072