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4825434864 = 2431931716691
BaseRepresentation
bin1000111111001111…
…00100101011110000
3110110021220111012210
410133213210223300
534340302403424
62114453452120
7230402343135
oct43747445360
913407814183
104825434864
1120569176a8
12b28041040
135bb93b703
1433ac2058c
151d3973729
hex11f9e4af0

4825434864 has 80 divisors (see below), whose sum is σ = 13163978880. Its totient is φ = 1518923520.

The previous prime is 4825434863. The next prime is 4825434871. The reversal of 4825434864 is 4684345284.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4825434863) 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, 280759 + ... + 297449.

It is an arithmetic number, because the mean of its divisors is an integer number (164549736).

Almost surely, 24825434864 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 4825434864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581989440).

4825434864 is an abundant number, since it is smaller than the sum of its proper divisors (8338544016).

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

4825434864 is a wasteful number, since it uses less digits than its factorization.

4825434864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17038 (or 17032 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 48.

The square root of 4825434864 is about 69465.3500962890. The cubic root of 4825434864 is about 1689.8396103754.

The spelling of 4825434864 in words is "four billion, eight hundred twenty-five million, four hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 317 456 634 912 951 1268 1902 2536 3804 5072 6023 7608 12046 15216 16691 18069 24092 33382 36138 48184 50073 66764 72276 96368 100146 133528 144552 200292 267056 289104 317129 400584 634258 801168 951387 1268516 1902774 2537032 3805548 5074064 5291047 7611096 10582094 15222192 15873141 21164188 31746282 42328376 63492564 84656752 100529893 126985128 201059786 253970256 301589679 402119572 603179358 804239144 1206358716 1608478288 2412717432 4825434864