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2638052430 = 235138238219
BaseRepresentation
bin1001110100111101…
…0111110001001110
320210211221221121120
42131033113301032
520400320134210
61113434341410
7122242034646
oct23517276116
96724857546
102638052430
111134125922
1261758a866
13330707190
141b0509526
151068ea270
hex9d3d7c4e

2638052430 has 64 divisors (see below), whose sum is σ = 6827466240. Its totient is φ = 648498816.

The previous prime is 2638052341. The next prime is 2638052437. The reversal of 2638052430 is 342508362.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2638052391 and 2638052400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638052437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316861 + ... + 325079.

It is an arithmetic number, because the mean of its divisors is an integer number (106679160).

Almost surely, 22638052430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638052430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413733120).

2638052430 is an abundant number, since it is smaller than the sum of its proper divisors (4189413810).

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

2638052430 is a wasteful number, since it uses less digits than its factorization.

2638052430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2638052430 is about 51361.9745531653. The cubic root of 2638052430 is about 1381.7447004504.

The spelling of 2638052430 in words is "two billion, six hundred thirty-eight million, fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 823 1646 2469 4115 4938 8219 8230 10699 12345 16438 21398 24657 24690 32097 41095 49314 53495 64194 82190 106847 106990 123285 160485 213694 246570 320541 320970 534235 641082 1068470 1602705 3205410 6764237 13528474 20292711 33821185 40585422 67642370 87935081 101463555 175870162 202927110 263805243 439675405 527610486 879350810 1319026215 2638052430