Search a number
-
+
75480144 = 2431918233
BaseRepresentation
bin1000111111110…
…11110001010000
312021000210021220
410133323301100
5123310331034
611253445040
71604366505
oct437736120
9167023256
1075480144
1139674393
1221340780
131283a00c
14a04b4ac
15695e749
hex47fbc50

75480144 has 40 divisors (see below), whose sum is σ = 196035072. Its totient is φ = 25025280.

The previous prime is 75480137. The next prime is 75480149. The reversal of 75480144 is 44108457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75480149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5052 + ... + 13284.

Almost surely, 275480144 is an apocalyptic number.

It is an amenable number.

75480144 is an abundant number, since it is smaller than the sum of its proper divisors (120554928).

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

75480144 is a wasteful number, since it uses less digits than its factorization.

75480144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 75480144 is about 8687.9309389520. The cubic root of 75480144 is about 422.6143504306.

The spelling of 75480144 in words is "seventy-five million, four hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 8233 9168 16466 24699 32932 49398 65864 98796 131728 197592 395184 1572503 3145006 4717509 6290012 9435018 12580024 18870036 25160048 37740072 75480144