Search a number
-
+
75472860 = 223517611213
BaseRepresentation
bin1000111111110…
…01111111011100
312021000102022010
410133321333130
5123310112420
611253351220
71604336331
oct437717734
9167012263
1075472860
1139669971
1221338510
13128368c8
14a048988
15695c4e0
hex47f9fdc

75472860 has 96 divisors (see below), whose sum is σ = 227610432. Its totient is φ = 18616320.

The previous prime is 75472849. The next prime is 75472861. The reversal of 75472860 is 6827457.

75472860 is nontrivially palindromic in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75472861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61614 + ... + 62826.

It is an arithmetic number, because the mean of its divisors is an integer number (2370942).

Almost surely, 275472860 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 75472860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113805216).

75472860 is an abundant number, since it is smaller than the sum of its proper divisors (152137572).

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

75472860 is a wasteful number, since it uses less digits than its factorization.

75472860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 75472860 is about 8687.5117266108. The cubic root of 75472860 is about 422.6007555883.

The spelling of 75472860 in words is "seventy-five million, four hundred seventy-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1213 1220 1830 2074 2426 3111 3639 3660 4148 4852 5185 6065 6222 7278 10370 12130 12444 14556 15555 18195 20621 20740 24260 31110 36390 41242 61863 62220 72780 73993 82484 103105 123726 147986 206210 221979 247452 295972 309315 369965 412420 443958 618630 739930 887916 1109895 1237260 1257881 1479860 2219790 2515762 3773643 4439580 5031524 6289405 7547286 12578810 15094572 18868215 25157620 37736430 75472860