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3816249504 = 253127931081
BaseRepresentation
bin1110001101110111…
…0101100010100000
3100211221221120011020
43203131311202200
530303424441004
61430403245440
7163366404564
oct34335654240
910757846136
103816249504
11168919a811
128a6079880
1348a836702
14282ba16a4
1517507a8d9
hexe37758a0

3816249504 has 48 divisors (see below), whose sum is σ = 10025809920. Its totient is φ = 1271047680.

The previous prime is 3816249473. The next prime is 3816249511. The reversal of 3816249504 is 4059426183.

3816249504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 107244 + ... + 138324.

It is an arithmetic number, because the mean of its divisors is an integer number (208871040).

Almost surely, 23816249504 is an apocalyptic number.

It is an amenable number.

3816249504 is an abundant number, since it is smaller than the sum of its proper divisors (6209560416).

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

3816249504 is a wasteful number, since it uses less digits than its factorization.

3816249504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32373 (or 32365 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3816249504 is about 61775.8003104776. The cubic root of 3816249504 is about 1562.7119035402.

The spelling of 3816249504 in words is "three billion, eight hundred sixteen million, two hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1279 2558 3837 5116 7674 10232 15348 20464 30696 31081 40928 61392 62162 93243 122784 124324 186486 248648 372972 497296 745944 994592 1491888 2983776 39752599 79505198 119257797 159010396 238515594 318020792 477031188 636041584 954062376 1272083168 1908124752 3816249504