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2442241984 = 26713232257
BaseRepresentation
bin1001000110010001…
…1010011111000000
320022012111202011211
42101210122133000
520000203220414
61042201415504
7114343500010
oct22144323700
96265452154
102442241984
111043644606
12581a9a594
132cbc88b00
141924d7c40
15e461c3c4
hex9191a7c0

2442241984 has 84 divisors (see below), whose sum is σ = 5997665424. Its totient is φ = 966131712.

The previous prime is 2442241951. The next prime is 2442242003. The reversal of 2442241984 is 4891422442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59584 + ... + 91840.

Almost surely, 22442241984 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 2442241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998832712).

2442241984 is an abundant number, since it is smaller than the sum of its proper divisors (3555423440).

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

2442241984 is a wasteful number, since it uses less digits than its factorization.

2442241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32302 (or 32279 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 2442241984 is about 49419.0447499747. The cubic root of 2442241984 is about 1346.6753093369.

The spelling of 2442241984 in words is "two billion, four hundred forty-two million, two hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 2366 2704 2912 4732 5408 5824 9464 10816 18928 32257 37856 64514 75712 129028 225799 258056 419341 451598 516112 838682 903196 1032224 1677364 1806392 2064448 2935387 3354728 3612784 5451433 5870774 6709456 7225568 10902866 11741548 13418912 14451136 21805732 23483096 26837824 38160031 43611464 46966192 76320062 87222928 93932384 152640124 174445856 187864768 305280248 348891712 610560496 1221120992 2442241984