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4417480056 = 23311174124007
BaseRepresentation
bin1000001110100110…
…10110010101111000
3102101212021020102110
410013103112111320
533021333330211
62010201532320
7214316650413
oct40723262570
912355236373
104417480056
111967609170
12a334a40a0
13555273432
142dc988b7a
151acc3cea6
hex1074d6578

4417480056 has 128 divisors (see below), whose sum is σ = 13068034560. Its totient is φ = 1229107200.

The previous prime is 4417480049. The next prime is 4417480057. The reversal of 4417480056 is 6500847144.

It is a junction number, because it is equal to n+sod(n) for n = 4417479996 and 4417480023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4417480057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172005 + ... + 196011.

It is an arithmetic number, because the mean of its divisors is an integer number (102094020).

Almost surely, 24417480056 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 4417480056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534017280).

4417480056 is an abundant number, since it is smaller than the sum of its proper divisors (8650554504).

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

4417480056 is a wasteful number, since it uses less digits than its factorization.

4417480056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24085 (or 24081 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 4417480056 is about 66464.1260831736. The cubic root of 4417480056 is about 1640.8096408783.

The spelling of 4417480056 in words is "four billion, four hundred seventeen million, four hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 41 44 51 66 68 82 88 102 123 132 136 164 187 204 246 264 328 374 408 451 492 561 697 748 902 984 1122 1353 1394 1496 1804 2091 2244 2706 2788 3608 4182 4488 5412 5576 7667 8364 10824 15334 16728 23001 24007 30668 46002 48014 61336 72021 92004 96028 144042 184008 192056 264077 288084 408119 528154 576168 792231 816238 984287 1056308 1224357 1584462 1632476 1968574 2112616 2448714 2952861 3168924 3264952 3937148 4489309 4897428 5905722 6337848 7874296 8978618 9794856 10827157 11811444 13467927 16732879 17957236 21654314 23622888 26935854 32481471 33465758 35914472 43308628 50198637 53871708 64962942 66931516 86617256 100397274 107743416 129925884 133863032 184061669 200794548 259851768 368123338 401589096 552185007 736246676 1104370014 1472493352 2208740028 4417480056