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4417680624 = 243713147859
BaseRepresentation
bin1000001110101000…
…00111010011110000
3102101212122102112220
410013110013103300
533021411234444
62010210121040
7214321444230
oct40724072360
912355572486
104417680624
111967735925
12a33580180
13555313806
142dc9dbcc0
151acc7c619
hex1075074f0

4417680624 has 40 divisors (see below), whose sum is σ = 13042677120. Its totient is φ = 1262194368.

The previous prime is 4417680599. The next prime is 4417680653. The reversal of 4417680624 is 4260867144.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6573594 + ... + 6574265.

It is an arithmetic number, because the mean of its divisors is an integer number (326066928).

Almost surely, 24417680624 is an apocalyptic number.

It is an amenable number.

4417680624 is an abundant number, since it is smaller than the sum of its proper divisors (8624996496).

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

4417680624 is a wasteful number, since it uses less digits than its factorization.

4417680624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13147877 (or 13147871 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4417680624 is about 66465.6349100797. The cubic root of 4417680624 is about 1640.8344732053.

The spelling of 4417680624 in words is "four billion, four hundred seventeen million, six hundred eighty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 13147859 26295718 39443577 52591436 78887154 92035013 105182872 157774308 184070026 210365744 276105039 315548616 368140052 552210078 631097232 736280104 1104420156 1472560208 2208840312 4417680624