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75144996 = 2234593931
BaseRepresentation
bin1000111101010…
…01111100100100
312020101202120000
410132221330210
5123214114441
611242341300
71601502423
oct436517444
9166352500
1075144996
1139465603
12211ba830
13127505c4
149da12ba
1568e52b6
hex47a9f24

75144996 has 60 divisors (see below), whose sum is σ = 199824240. Its totient is φ = 24617520.

The previous prime is 75144977. The next prime is 75144997. The reversal of 75144996 is 69944157.

75144996 is a `hidden beast` number, since 7 + 514 + 49 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (75144997) 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, 17151 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (3330404).

Almost surely, 275144996 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 75144996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99912120).

75144996 is an abundant number, since it is smaller than the sum of its proper divisors (124679244).

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

75144996 is a wasteful number, since it uses less digits than its factorization.

75144996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3995 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 75144996 is about 8668.6213436740. The cubic root of 75144996 is about 421.9879229565.

The spelling of 75144996 in words is "seventy-five million, one hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1593 2124 3186 3931 4779 6372 7862 9558 11793 15724 19116 23586 35379 47172 70758 106137 141516 212274 231929 318411 424548 463858 636822 695787 927716 1273644 1391574 2087361 2783148 4174722 6262083 8349444 12524166 18786249 25048332 37572498 75144996