Search a number
-
+
2958497984 = 261313032729
BaseRepresentation
bin1011000001010111…
…0001100011000000
321122011221021021102
42300111301203000
522024333413414
61205322513532
7133212550361
oct26025614300
97564837242
102958497984
111288aa4362
126a69658a8
13381c13130
14200cc1b68
15124ae6ede
hexb05718c0

2958497984 has 56 divisors (see below), whose sum is σ = 6329537760. Its totient is φ = 1363912704.

The previous prime is 2958497977. The next prime is 2958498007. The reversal of 2958497984 is 4897948592.

It is a self number, because there is not a number n which added to its sum of digits gives 2958497984.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1082732 + ... + 1085460.

It is an arithmetic number, because the mean of its divisors is an integer number (113027460).

Almost surely, 22958497984 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 2958497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164768880).

2958497984 is an abundant number, since it is smaller than the sum of its proper divisors (3371039776).

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

2958497984 is a wasteful number, since it uses less digits than its factorization.

2958497984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4047 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 65.

The square root of 2958497984 is about 54392.0764817818. The cubic root of 2958497984 is about 1435.5679677352.

The spelling of 2958497984 in words is "two billion, nine hundred fifty-eight million, four hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1303 2606 2729 5212 5458 10424 10916 16939 20848 21832 33878 35477 41696 43664 67756 70954 83392 87328 135512 141908 174656 271024 283816 542048 567632 1084096 1135264 2270528 3555887 7111774 14223548 28447096 46226531 56894192 92453062 113788384 184906124 227576768 369812248 739624496 1479248992 2958497984