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4015421568 = 273231229491
BaseRepresentation
bin1110111101010110…
…0111100010000000
3101100211201112212100
43233111213202000
531210421442233
61502240230400
7201335343264
oct35725474200
911324645770
104015421568
111780667724
1294090b400
134bcb90bc2
142a140a0a4
151877be813
hexef567880

4015421568 has 192 divisors, whose sum is σ = 12004012800. Its totient is φ = 1287014400.

The previous prime is 4015421567. The next prime is 4015421569. The reversal of 4015421568 is 8651245104.

It is a happy number.

4015421568 is a `hidden beast` number, since 40 + 1 + 54 + 2 + 1 + 568 = 666.

4015421568 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 an interprime number because it is at equal distance from previous prime (4015421567) and next prime (4015421569).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40154215682 = 32247220737519157248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4015421567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8177803 + ... + 8178293.

It is an arithmetic number, because the mean of its divisors is an integer number (62520900).

Almost surely, 24015421568 is an apocalyptic number.

4015421568 is a gapful number since it is divisible by the number (48) 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 4015421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002006400).

4015421568 is an abundant number, since it is smaller than the sum of its proper divisors (7988591232).

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

4015421568 is a wasteful number, since it uses less digits than its factorization.

4015421568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4015421568 is about 63367.3541186627. The cubic root of 4015421568 is about 1589.4384536519.

The spelling of 4015421568 in words is "four billion, fifteen million, four hundred twenty-one thousand, five hundred sixty-eight".