Search a number
-
+
4247007424 = 261113146051
BaseRepresentation
bin1111110100100100…
…0011000011000000
3101221222111022221021
43331021003003000
532144213214144
61541232035224
7210146652562
oct37511030300
911858438837
104247007424
11188a3635a0
129a6392b14
13528b56c5a
142c4091332
1519ccb7884
hexfd2430c0

4247007424 has 56 divisors (see below), whose sum is σ = 9264188736. Its totient is φ = 1915680000.

The previous prime is 4247007407. The next prime is 4247007449.

4247007424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42470074242 = 36074144119022231552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4247007424.

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 7 ways as a sum of consecutive naturals, for example, 69199 + ... + 115249.

Almost surely, 24247007424 is an apocalyptic number.

4247007424 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 4247007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632094368).

4247007424 is an abundant number, since it is smaller than the sum of its proper divisors (5017181312).

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

4247007424 is a wasteful number, since it uses less digits than its factorization.

4247007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46205 (or 46195 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 34.

The square root of 4247007424 is about 65169.0680000873. The cubic root of 4247007424 is about 1619.4256237408.

The spelling of 4247007424 in words is "four billion, two hundred forty-seven million, seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 262 352 524 704 1048 1441 2096 2882 4192 5764 8384 11528 23056 46051 46112 92102 92224 184204 368408 506561 736816 1013122 1473632 2026244 2947264 4052488 6032681 8104976 12065362 16209952 24130724 32419904 48261448 66359491 96522896 132718982 193045792 265437964 386091584 530875928 1061751856 2123503712 4247007424