Search a number
-
+
75290328 = 23322414339
BaseRepresentation
bin1000111110011…
…01011011011000
312020200010220200
410133031123120
5123233242303
611245422200
71602646221
oct437153330
9166603820
1075290328
1139554813
122126a960
13127a17b9
149ddc248
1569233a3
hex47cd6d8

75290328 has 48 divisors (see below), whose sum is σ = 204804600. Its totient is φ = 24986880.

The previous prime is 75290321. The next prime is 75290357. The reversal of 75290328 is 82309257.

It is a happy number.

It is a Cunningham number, because it is equal to 86772-1.

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 = 75290292 and 75290301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75290321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15183 + ... + 19521.

Almost surely, 275290328 is an apocalyptic number.

It is an amenable number.

75290328 is an abundant number, since it is smaller than the sum of its proper divisors (129514272).

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

75290328 is a wasteful number, since it uses less digits than its factorization.

75290328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75290328 is about 8676.9999423764. Note that the first 4 decimals coincide. The cubic root of 75290328 is about 422.2597922658.

The spelling of 75290328 in words is "seventy-five million, two hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1928 2169 2892 4338 4339 5784 8676 8678 13017 17352 17356 26034 34712 39051 52068 78102 104136 156204 312408 1045699 2091398 3137097 4182796 6274194 8365592 9411291 12548388 18822582 25096776 37645164 75290328