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2429248820 = 22510321072
BaseRepresentation
bin1001000011001011…
…0110010100110100
320021022001121220112
42100302312110310
514433341430240
61041015122152
7114125163035
oct22062662464
96238047815
102429248820
11103727a659
12579673358
132c9389a4b
141908b4a8c
15e3402665
hex90cb6534

2429248820 has 54 divisors (see below), whose sum is σ = 5200025922. Its totient is φ = 953272416.

The previous prime is 2429248817. The next prime is 2429248841. The reversal of 2429248820 is 288429242.

It can be written as a sum of positive squares in only one way, i.e., 1943399056 + 485849764 = 44084^2 + 22042^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22703207 + ... + 22703313.

Almost surely, 22429248820 is an apocalyptic number.

2429248820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429248820 is an abundant number, since it is smaller than the sum of its proper divisors (2770777102).

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

2429248820 is a wasteful number, since it uses less digits than its factorization.

2429248820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 2429248820 is about 49287.4103600504. The cubic root of 2429248820 is about 1344.2828771131.

The spelling of 2429248820 in words is "two billion, four hundred twenty-nine million, two hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 103 107 206 214 412 428 515 535 1030 1070 2060 2140 10609 11021 11449 21218 22042 22898 42436 44084 45796 53045 55105 57245 106090 110210 114490 212180 220420 228980 1135163 1179247 2270326 2358494 4540652 4716988 5675815 5896235 11351630 11792470 22703260 23584940 121462441 242924882 485849764 607312205 1214624410 2429248820