Search a number
-
+
2875009384 = 2313239712391
BaseRepresentation
bin1010101101011101…
…0010100101101000
321102100211121110001
42223113102211220
521342000300014
61153141232344
7131150114362
oct25327224550
97370747401
102875009384
111245960115
12682a026b4
1336a830bb0
141d3b8bd32
1511c604974
hexab5d2968

2875009384 has 64 divisors (see below), whose sum is σ = 6120656640. Its totient is φ = 1256048640.

The previous prime is 2875009381. The next prime is 2875009427. The reversal of 2875009384 is 4839005782.

2875009384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2875009381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225829 + ... + 238219.

It is an arithmetic number, because the mean of its divisors is an integer number (95635260).

Almost surely, 22875009384 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 2875009384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060328320).

2875009384 is an abundant number, since it is smaller than the sum of its proper divisors (3245647256).

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

2875009384 is a wasteful number, since it uses less digits than its factorization.

2875009384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 2875009384 is about 53619.1139799978. The cubic root of 2875009384 is about 1421.9350369877.

The spelling of 2875009384 in words is "two billion, eight hundred seventy-five million, nine thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 97 104 184 194 299 388 598 776 1196 1261 2231 2392 2522 4462 5044 8924 10088 12391 17848 24782 29003 49564 58006 99128 116012 161083 232024 284993 322166 569986 644332 1139972 1201927 1288664 2279944 2403854 3704909 4807708 7409818 9615416 14819636 15625051 27644321 29639272 31250102 55288642 62500204 110577284 125000408 221154568 359376173 718752346 1437504692 2875009384