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2429469000 = 23325373787
BaseRepresentation
bin1001000011001110…
…1100000101001000
320021022110210221100
42100303230011020
514433421002000
61041023541400
7114130101000
oct22063540510
96238423840
102429469000
111037410022
1257975a860
132c943602a
14190931000
15e3447a00
hex90cec148

2429469000 has 384 divisors, whose sum is σ = 9588384000. Its totient is φ = 554601600.

The previous prime is 2429468999. The next prime is 2429469011. The reversal of 2429469000 is 9649242.

It is a super-2 number, since 2×24294690002 = 11804639243922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3086607 + ... + 3087393.

It is an arithmetic number, because the mean of its divisors is an integer number (24969750).

Almost surely, 22429469000 is an apocalyptic number.

2429469000 is a gapful number since it is divisible by the number (20) 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 2429469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794192000).

2429469000 is an abundant number, since it is smaller than the sum of its proper divisors (7158915000).

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

2429469000 is a wasteful number, since it uses less digits than its factorization.

2429469000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2429469000 is about 49289.6439427188. The cubic root of 2429469000 is about 1344.3234898407.

The spelling of 2429469000 in words is "two billion, four hundred twenty-nine million, four hundred sixty-nine thousand".