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4249201056 = 253231924457
BaseRepresentation
bin1111110101000101…
…1010100110100000
3101222010121210000220
43331101122212200
532200243413211
61541351043040
7210204420162
oct37521324640
911863553026
104249201056
111890621711
129a7070480
13529444569
142c44a2932
1519d09c806
hexfd45a9a0

4249201056 has 48 divisors (see below), whose sum is σ = 11639121984. Its totient is φ = 1354817024.

The previous prime is 4249201049. The next prime is 4249201057. The reversal of 4249201056 is 6501029424.

4249201056 is digitally balanced in base 2, because in such base 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 a super-2 number, since 2×42492010562 = 36111419228623030272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4249201057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960021 + ... + 964436.

It is an arithmetic number, because the mean of its divisors is an integer number (242481708).

Almost surely, 24249201056 is an apocalyptic number.

4249201056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4249201056 is an abundant number, since it is smaller than the sum of its proper divisors (7389920928).

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

4249201056 is a wasteful number, since it uses less digits than its factorization.

4249201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924493 (or 1924485 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4249201056 is about 65185.8961432609. The cubic root of 4249201056 is about 1619.7043935558.

The spelling of 4249201056 in words is "four billion, two hundred forty-nine million, two hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 1924457 3848914 5773371 7697828 11546742 15395656 23093484 30791312 44262511 46186968 61582624 88525022 92373936 132787533 177050044 184747872 265575066 354100088 531150132 708200176 1062300264 1416400352 2124600528 4249201056