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4882620624 = 243765922051
BaseRepresentation
bin1001000110000011…
…01110000011010000
3110121021111211022220
410203001232003100
534444422324444
62124255301040
7231665406360
oct44301560320
913537454286
104882620624
112086126162
12b4321a780
135ca74173b
143446689a0
151d89bc619
hex12306e0d0

4882620624 has 80 divisors (see below), whose sum is σ = 14437885440. Its totient is φ = 1392854400.

The previous prime is 4882620607. The next prime is 4882620629. The reversal of 4882620624 is 4260262884.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882620629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210399 + ... + 232449.

It is an arithmetic number, because the mean of its divisors is an integer number (180473568).

Almost surely, 24882620624 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 4882620624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218942720).

4882620624 is an abundant number, since it is smaller than the sum of its proper divisors (9555264816).

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

4882620624 is a wasteful number, since it uses less digits than its factorization.

4882620624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22728 (or 22722 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4882620624 is about 69875.7513304866. The cubic root of 4882620624 is about 1696.4887879327.

The spelling of 4882620624 in words is "four billion, eight hundred eighty-two million, six hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 659 1318 1977 2636 3954 4613 5272 7908 9226 10544 13839 15816 18452 22051 27678 31632 36904 44102 55356 66153 73808 88204 110712 132306 154357 176408 221424 264612 308714 352816 463071 529224 617428 926142 1058448 1234856 1852284 2469712 3704568 7409136 14531609 29063218 43594827 58126436 87189654 101721263 116252872 174379308 203442526 232505744 305163789 348758616 406885052 610327578 697517232 813770104 1220655156 1627540208 2441310312 4882620624