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4099479552 = 21133721789
BaseRepresentation
bin1111010001011001…
…0001100000000000
3101120200220010202000
43310112101200000
531343431321202
61514442024000
7203406000300
oct36426214000
911520803660
104099479552
11181405a733
12964aa8000
1350441235c
142ac64b600
1518ed7591c
hexf4591800

4099479552 has 576 divisors, whose sum is σ = 15125292000. Its totient is φ = 1089994752.

The previous prime is 4099479533. The next prime is 4099479557. The reversal of 4099479552 is 2559749904.

4099479552 is a `hidden beast` number, since 40 + 9 + 9 + 47 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40994795522 = 33611465194532241408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4099479557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46061524 + ... + 46061612.

Almost surely, 24099479552 is an apocalyptic number.

4099479552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562646000).

4099479552 is an abundant number, since it is smaller than the sum of its proper divisors (11025812448).

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

4099479552 is a wasteful number, since it uses less digits than its factorization.

4099479552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 4099479552 is about 64027.1782292489. The cubic root of 4099479552 is about 1600.4529384338.

The spelling of 4099479552 in words is "four billion, ninety-nine million, four hundred seventy-nine thousand, five hundred fifty-two".