Search a number
-
+
8488021152 = 253136801299
BaseRepresentation
bin1111110011110110…
…01110110010100000
3210220112201011001210
413321323032302200
5114340413134102
63522131430120
7420224663232
oct77173166240
923815634053
108488021152
1136662a2a16
12178a755340
13a53692a30
145a7422252
1534a29936c
hex1f9ececa0

8488021152 has 48 divisors (see below), whose sum is σ = 23994986400. Its totient is φ = 2611698432.

The previous prime is 8488021151. The next prime is 8488021159. The reversal of 8488021152 is 2511208848.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8488021152.

It is not an unprimeable number, because it can be changed into a prime (8488021151) 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 7 ways as a sum of consecutive naturals, for example, 3399402 + ... + 3401897.

It is an arithmetic number, because the mean of its divisors is an integer number (499895550).

Almost surely, 28488021152 is an apocalyptic number.

It is an amenable number.

8488021152 is an abundant number, since it is smaller than the sum of its proper divisors (15506965248).

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

8488021152 is a wasteful number, since it uses less digits than its factorization.

8488021152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801325 (or 6801317 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 8488021152 is about 92130.4572440623. The cubic root of 8488021152 is about 2039.8684036603.

The spelling of 8488021152 in words is "eight billion, four hundred eighty-eight million, twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 6801299 13602598 20403897 27205196 40807794 54410392 81615588 88416887 108820784 163231176 176833774 217641568 265250661 326462352 353667548 530501322 652924704 707335096 1061002644 1414670192 2122005288 2829340384 4244010576 8488021152