Search a number
-
+
75443076 = 22341713697
BaseRepresentation
bin1000111111100…
…10101110000100
312020221220110000
410133302232010
5123303134301
611253001300
71604153442
oct437625604
9166856400
1075443076
1139649555
1221323230
1312826197
14a03bb92
156953786
hex47f2b84

75443076 has 60 divisors (see below), whose sum is σ = 208839708. Its totient is φ = 23666688.

The previous prime is 75443063. The next prime is 75443077. The reversal of 75443076 is 67034457.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 50041476 = 5040^2 + 7074^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 75443076.

It is not an unprimeable number, because it can be changed into a prime (75443077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1341 + ... + 12356.

Almost surely, 275443076 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 75443076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104419854).

75443076 is an abundant number, since it is smaller than the sum of its proper divisors (133396632).

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

75443076 is a wasteful number, since it uses less digits than its factorization.

75443076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 75443076 is about 8685.7973727229. The cubic root of 75443076 is about 422.5451576909.

The spelling of 75443076 in words is "seventy-five million, four hundred forty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 13697 27394 41091 54788 82182 123273 164364 232849 246546 369819 465698 493092 698547 739638 931396 1109457 1397094 1479276 2095641 2218914 2794188 4191282 4437828 6286923 8382564 12573846 18860769 25147692 37721538 75443076