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2364948252 = 223413753279
BaseRepresentation
bin1000110011110110…
…0011111100011100
320002211001211010000
42030331203330130
514320411321002
61030401014300
7112414504602
oct21475437434
96084054100
102364948252
111003a51697
12560024390
132b8c65484
14186137872
15dc95061c
hex8cf63f1c

2364948252 has 60 divisors (see below), whose sum is σ = 6227686080. Its totient is φ = 782547264.

The previous prime is 2364948241. The next prime is 2364948253. The reversal of 2364948252 is 2528494632.

2364948252 is a `hidden beast` number, since 2 + 36 + 494 + 82 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2364948198 and 2364948207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364948253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17749 + ... + 71027.

It is an arithmetic number, because the mean of its divisors is an integer number (103794768).

Almost surely, 22364948252 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 2364948252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113843040).

2364948252 is an abundant number, since it is smaller than the sum of its proper divisors (3862737828).

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

2364948252 is a wasteful number, since it uses less digits than its factorization.

2364948252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53432 (or 53421 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2364948252 is about 48630.7336156879. The cubic root of 2364948252 is about 1332.3159099736.

The spelling of 2364948252 in words is "two billion, three hundred sixty-four million, nine hundred forty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1233 1644 2466 3699 4932 7398 11097 14796 22194 44388 53279 106558 159837 213116 319674 479511 639348 959022 1438533 1918044 2877066 4315599 5754132 7299223 8631198 14598446 17262396 21897669 29196892 43795338 65693007 87590676 131386014 197079021 262772028 394158042 591237063 788316084 1182474126 2364948252