Search a number
-
+
4196584304 = 241161390889
BaseRepresentation
bin1111101000100010…
…1100101101110000
3101211110121120102022
43322020230231300
532043311144204
61532231211012
7205665243443
oct37210545560
911743546368
104196584304
1118639539a0
12991516a68
1351b5810a3
142bb4c765a
151986575be
hexfa22cb70

4196584304 has 40 divisors (see below), whose sum is σ = 9015486960. Its totient is φ = 1876262400.

The previous prime is 4196584279. The next prime is 4196584309. The reversal of 4196584304 is 4034856914.

4196584304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41965843042 = 35222639641158328832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196584309) 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, 184709 + ... + 206180.

It is an arithmetic number, because the mean of its divisors is an integer number (225387174).

Almost surely, 24196584304 is an apocalyptic number.

4196584304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4196584304 is an abundant number, since it is smaller than the sum of its proper divisors (4818902656).

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

4196584304 is a wasteful number, since it uses less digits than its factorization.

4196584304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390969 (or 390963 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 4196584304 is about 64781.0489572375. The cubic root of 4196584304 is about 1612.9911478973.

The spelling of 4196584304 in words is "four billion, one hundred ninety-six million, five hundred eighty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 10736 390889 781778 1563556 3127112 4299779 6254224 8599558 17199116 23844229 34398232 47688458 68796464 95376916 190753832 262286519 381507664 524573038 1049146076 2098292152 4196584304