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4250440524 = 22311193534801
BaseRepresentation
bin1111110101011000…
…1001001101001100
3101222012221202021010
43331112021031030
532201103044044
61541433405220
7210221101611
oct37526111514
911865852233
104250440524
111891298970
129a7569810
13529789785
142c4706508
1519d244bb9
hexfd58934c

4250440524 has 96 divisors (see below), whose sum is σ = 11423381760. Its totient is φ = 1216512000.

The previous prime is 4250440517. The next prime is 4250440547.

4250440524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42504405242 = 36132489296122789152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4250440491 and 4250440500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882924 + ... + 887724.

It is an arithmetic number, because the mean of its divisors is an integer number (118993560).

Almost surely, 24250440524 is an apocalyptic number.

4250440524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250440524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711690880).

4250440524 is an abundant number, since it is smaller than the sum of its proper divisors (7172941236).

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

4250440524 is a wasteful number, since it uses less digits than its factorization.

4250440524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4250440524 is about 65195.4026293266. The cubic root of 4250440524 is about 1619.8618644601.

It can be divided in two parts, 42504 and 40524, that added together give a triangular number (83028 = T407).

The spelling of 4250440524 in words is "four billion, two hundred fifty million, four hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 353 418 627 706 836 1059 1254 1412 2118 2508 3883 4236 4801 6707 7766 9602 11649 13414 14403 15532 19204 20121 23298 26828 28806 40242 46596 52811 57612 73777 80484 91219 105622 147554 158433 182438 211244 221331 273657 295108 316866 364876 442662 547314 633732 885324 1003409 1094628 1694753 2006818 3010227 3389506 4013636 5084259 6020454 6779012 10168518 12040908 18642283 20337036 32200307 37284566 55926849 64400614 74569132 96600921 111853698 128801228 193201842 223707396 354203377 386403684 708406754 1062610131 1416813508 2125220262 4250440524