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2429797312 = 26791573061
BaseRepresentation
bin1001000011010011…
…1100001111000000
320021100002111022001
42100310330033000
514434012003222
61041034553344
7114132636115
oct22064741700
96240074261
102429797312
111037614758
12579898854
132c951c5b7
141909b890c
15e34aee27
hex90d3c3c0

2429797312 has 56 divisors (see below), whose sum is σ = 4915367360. Its totient is φ = 1191490560.

The previous prime is 2429797291. The next prime is 2429797343. The reversal of 2429797312 is 2137979242.

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 7 ways as a sum of consecutive naturals, for example, 792262 + ... + 795322.

Almost surely, 22429797312 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 2429797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457683680).

2429797312 is an abundant number, since it is smaller than the sum of its proper divisors (2485570048).

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

2429797312 is a wasteful number, since it uses less digits than its factorization.

2429797312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3299 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 2429797312 is about 49292.9742661163. The cubic root of 2429797312 is about 1344.3840432173.

The spelling of 2429797312 in words is "two billion, four hundred twenty-nine million, seven hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 157 158 314 316 628 632 1256 1264 2512 2528 3061 5024 5056 6122 10048 12244 12403 24488 24806 48976 49612 97952 99224 195904 198448 241819 396896 480577 483638 793792 961154 967276 1922308 1934552 3844616 3869104 7689232 7738208 15378464 15476416 30756928 37965583 75931166 151862332 303724664 607449328 1214898656 2429797312