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4825874304 = 27328394993
BaseRepresentation
bin1000111111010010…
…01111111110000000
3110110022201211000100
410133221033332000
534340410434204
62114511122400
7230406153246
oct43751177600
913408654010
104825874304
112057097879
12b28213400
135bba63734
1433acd6796
151d3a0da39
hex11fa4ff80

4825874304 has 96 divisors (see below), whose sum is σ = 13906292400. Its totient is φ = 1606385664.

The previous prime is 4825874299. The next prime is 4825874327. The reversal of 4825874304 is 4034785284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4825874304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964032 + ... + 969024.

Almost surely, 24825874304 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 4825874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953146200).

4825874304 is an abundant number, since it is smaller than the sum of its proper divisors (9080418096).

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

4825874304 is a wasteful number, since it uses less digits than its factorization.

4825874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 4825874304 is about 69468.5130400817. The cubic root of 4825874304 is about 1689.8909052741.

The spelling of 4825874304 in words is "four billion, eight hundred twenty-five million, eight hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 839 1152 1678 2517 3356 4993 5034 6712 7551 9986 10068 13424 14979 15102 19972 20136 26848 29958 30204 39944 40272 44937 53696 59916 60408 79888 80544 89874 107392 119832 120816 159776 161088 179748 239664 241632 319552 322176 359496 479328 483264 639104 718992 958656 966528 1437984 1917312 2875968 4189127 5751936 8378254 12567381 16756508 25134762 33513016 37702143 50269524 67026032 75404286 100539048 134052064 150808572 201078096 268104128 301617144 402156192 536208256 603234288 804312384 1206468576 1608624768 2412937152 4825874304