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2429939712 = 2123316379
BaseRepresentation
bin1001000011010101…
…1111000000000000
320021100100201122010
42100311133000000
514434031032322
61041042012520
7114134101224
oct22065370000
96240321563
102429939712
111037701742
12579947140
132c956c365
14190a14784
15e34dc20c
hex90d5f000

2429939712 has 104 divisors (see below), whose sum is σ = 6689098240. Its totient is φ = 783728640.

The previous prime is 2429939689. The next prime is 2429939747. The reversal of 2429939712 is 2179399242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377739 + ... + 384117.

Almost surely, 22429939712 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 2429939712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344549120).

2429939712 is an abundant number, since it is smaller than the sum of its proper divisors (4259158528).

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

2429939712 is an equidigital number, since it uses as much as digits as its factorization.

2429939712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437 (or 6415 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 2429939712 is about 49294.4186698657. The cubic root of 2429939712 is about 1344.4103055653.

The spelling of 2429939712 in words is "two billion, four hundred twenty-nine million, nine hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 5952 6144 6379 7936 11904 12288 12758 15872 19137 23808 25516 31744 38274 47616 51032 63488 76548 95232 102064 126976 153096 190464 197749 204128 306192 380928 395498 408256 593247 612384 790996 816512 1186494 1224768 1581992 1633024 2372988 2449536 3163984 3266048 4745976 4899072 6327968 6532096 9491952 9798144 12655936 13064192 18983904 19596288 25311872 26128384 37967808 39192576 50623744 75935616 78385152 101247488 151871232 202494976 303742464 404989952 607484928 809979904 1214969856 2429939712