Search a number
-
+
88428375 = 3353719197
BaseRepresentation
bin1010100010101…
…00111101010111
320011101121221000
411101110331113
5140114202000
612435154343
72122425450
oct521247527
9204347830
1088428375
1145a08602
12257459b3
13154217a9
14ba5c127
157b6b000
hex5454f57

88428375 has 128 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 38102400.

The previous prime is 88428359. The next prime is 88428377. The reversal of 88428375 is 57382488.

It is not a de Polignac number, because 88428375 - 24 = 88428359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 88428375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88428377) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448777 + ... + 448973.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 288428375 is an apocalyptic number.

88428375 is an abundant number, since it is smaller than the sum of its proper divisors (109254825).

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

88428375 is a wasteful number, since it uses less digits than its factorization.

88428375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 88428375 is about 9403.6362647648. The cubic root of 88428375 is about 445.5165906597.

The spelling of 88428375 in words is "eighty-eight million, four hundred twenty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 95 105 125 133 135 171 175 189 197 225 285 315 375 399 475 513 525 591 665 675 855 875 945 985 1125 1197 1379 1425 1575 1773 1995 2375 2565 2625 2955 3325 3375 3591 3743 4137 4275 4725 4925 5319 5985 6895 7125 7875 8865 9975 11229 12411 12825 14775 16625 17955 18715 20685 21375 23625 24625 26201 26595 29925 33687 34475 37233 44325 49875 56145 62055 64125 73875 78603 89775 93575 101061 103425 131005 132975 149625 168435 172375 186165 221625 235809 280725 310275 393015 448875 467875 505305 517125 655025 664875 707427 842175 930825 1179045 1403625 1551375 1965075 2526525 3275125 3537135 4210875 4654125 5895225 9825375 12632625 17685675 29476125 88428375