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4106253024 = 253283283607
BaseRepresentation
bin1111010011000000…
…0111001011100000
3101121011122021012100
43310300013023200
531402200044044
61515243130400
7203520401106
oct36460071340
911534567170
104106253024
111817966745
12967213a00
13505944423
142ad4d1c76
15190762869
hexf4c072e0

4106253024 has 144 divisors (see below), whose sum is σ = 11879142912. Its totient is φ = 1345261824.

The previous prime is 4106253023. The next prime is 4106253029. The reversal of 4106253024 is 4203526014.

4106253024 is a `hidden beast` number, since 4 + 1 + 0 + 625 + 30 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41062530242 = 33722627794218289152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106253023) 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, 6764529 + ... + 6765135.

It is an arithmetic number, because the mean of its divisors is an integer number (82494048).

Almost surely, 24106253024 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 4106253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939571456).

4106253024 is an abundant number, since it is smaller than the sum of its proper divisors (7772889888).

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

4106253024 is a wasteful number, since it uses less digits than its factorization.

4106253024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4106253024 is about 64080.0516853724. The cubic root of 4106253024 is about 1601.3339167739. Note that the first 3 decimals are identical.

Adding to 4106253024 its reverse (4203526014), we get a palindrome (8309779038).

The spelling of 4106253024 in words is "four billion, one hundred six million, two hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 283 288 332 498 566 607 664 747 849 996 1132 1214 1328 1494 1698 1821 1992 2264 2428 2547 2656 2988 3396 3642 3984 4528 4856 5094 5463 5976 6792 7284 7968 9056 9712 10188 10926 11952 13584 14568 19424 20376 21852 23489 23904 27168 29136 40752 43704 46978 50381 58272 70467 81504 87408 93956 100762 140934 151143 171781 174816 187912 201524 211401 281868 302286 343562 375824 403048 422802 453429 515343 563736 604572 687124 751648 806096 845604 906858 1030686 1127472 1209144 1374248 1546029 1612192 1691208 1813716 2061372 2254944 2418288 2748496 3092058 3382416 3627432 4122744 4836576 5496992 6184116 6764832 7254864 8245488 12368232 14257823 14509728 16490976 24736464 28515646 42773469 49472928 57031292 85546938 114062584 128320407 171093876 228125168 256640814 342187752 456250336 513281628 684375504 1026563256 1368751008 2053126512 4106253024