Search a number
-
+
2598720984 = 2332711074751
BaseRepresentation
bin1001101011100101…
…0101010111011000
320201002221201000100
42122321111113120
520310233032414
61105511335400
7121253523006
oct23271252730
96632851010
102598720984
111113a015a2
12606381560
13325515a32
141a91cba76
1510322b609
hex9ae555d8

2598720984 has 96 divisors (see below), whose sum is σ = 7205552640. Its totient is φ = 845880000.

The previous prime is 2598720977. The next prime is 2598721007. The reversal of 2598720984 is 4890278952.

It is a self number, because there is not a number n which added to its sum of digits gives 2598720984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544609 + ... + 549359.

It is an arithmetic number, because the mean of its divisors is an integer number (75057840).

Almost surely, 22598720984 is an apocalyptic number.

2598720984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2598720984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602776320).

2598720984 is an abundant number, since it is smaller than the sum of its proper divisors (4606831656).

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

2598720984 is a wasteful number, since it uses less digits than its factorization.

2598720984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2598720984 is about 50977.6518093959. The cubic root of 2598720984 is about 1374.8433512341.

It can be divided in two parts, 25987 and 20984, that added together give a triangular number (46971 = T306).

The spelling of 2598720984 in words is "two billion, five hundred ninety-eight million, seven hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 107 142 213 214 284 321 426 428 568 639 642 852 856 963 1278 1284 1704 1926 2556 2568 3852 4751 5112 7597 7704 9502 14253 15194 19004 22791 28506 30388 38008 42759 45582 57012 60776 68373 85518 91164 114024 136746 171036 182328 273492 337321 342072 508357 546984 674642 1011963 1016714 1349284 1525071 2023926 2033428 2698568 3035889 3050142 4047852 4066856 4575213 6071778 6100284 8095704 9150426 12143556 12200568 18300852 24287112 36093347 36601704 72186694 108280041 144373388 216560082 288746776 324840123 433120164 649680246 866240328 1299360492 2598720984