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252036792 = 23337223813
BaseRepresentation
bin11110000010111…
…00011010111000
3122120020210111000
433001130122320
51004010134132
641002005000
76150164100
oct1701343270
9576223430
10252036792
1111a2a4a77
12704a6760
13402a67c7
142568a200
15171d787c
hexf05c6b8

252036792 has 96 divisors (see below), whose sum is σ = 814438800. Its totient is φ = 72007488.

The previous prime is 252036791. The next prime is 252036793. The reversal of 252036792 is 297630252.

252036792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252036791) and next prime (252036793).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252036791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323 + ... + 22490.

Almost surely, 2252036792 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 252036792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407219400).

252036792 is an abundant number, since it is smaller than the sum of its proper divisors (562402008).

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

252036792 is a wasteful number, since it uses less digits than its factorization.

252036792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23842 (or 23825 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 252036792 is about 15875.6666631673. Note that the first 5 decimals coincide. The cubic root of 252036792 is about 631.6666978865. Note that the first 4 decimals are identical.

The spelling of 252036792 in words is "two hundred fifty-two million, thirty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 23813 47626 71439 95252 142878 166691 190504 214317 285756 333382 428634 500073 571512 642951 666764 857268 1000146 1166837 1285902 1333528 1500219 1714536 2000292 2333674 2571804 3000438 3500511 4000584 4500657 4667348 5143608 6000876 7001022 9001314 9334696 10501533 12001752 14002044 18002628 21003066 28004088 31504599 36005256 42006132 63009198 84012264 126018396 252036792