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3142856752 = 24753836379
BaseRepresentation
bin1011101101010100…
…0011000000110000
322010000211122221221
42323111003000300
522414032404002
61235510154424
7140611561450
oct27325030060
98100748857
103142856752
111373073882
12738652a14
133b1181c69
1421b591d60
15135db1c37
hexbb543030

3142856752 has 80 divisors (see below), whose sum is σ = 7177040640. Its totient is φ = 1305398016.

The previous prime is 3142856749. The next prime is 3142856789. The reversal of 3142856752 is 2576582413.

It is a junction number, because it is equal to n+sod(n) for n = 3142856699 and 3142856708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489499 + ... + 495877.

It is an arithmetic number, because the mean of its divisors is an integer number (89713008).

Almost surely, 23142856752 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 3142856752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588520320).

3142856752 is an abundant number, since it is smaller than the sum of its proper divisors (4034183888).

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

3142856752 is a wasteful number, since it uses less digits than its factorization.

3142856752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530 (or 6524 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 3142856752 is about 56061.1875721519. The cubic root of 3142856752 is about 1464.7882996173.

The spelling of 3142856752 in words is "three billion, one hundred forty-two million, eight hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 83 106 112 166 212 332 371 424 581 664 742 848 1162 1328 1484 2324 2968 4399 4648 5936 6379 8798 9296 12758 17596 25516 30793 35192 44653 51032 61586 70384 89306 102064 123172 178612 246344 338087 357224 492688 529457 676174 714448 1058914 1352348 2117828 2366609 2704696 3706199 4235656 4733218 5409392 7412398 8471312 9466436 14824796 18932872 28061221 29649592 37865744 56122442 59299184 112244884 196428547 224489768 392857094 448979536 785714188 1571428376 3142856752