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4002505542 = 233731341569
BaseRepresentation
bin1110111010010001…
…0110001101000110
3101022221102100102000
43232210112031012
531144120134132
61501055330130
7201120510240
oct35644261506
911287370360
104002505542
111774345722
12938520946
134ba2bac99
1429d807090
151865bc87c
hexee916346

4002505542 has 64 divisors (see below), whose sum is σ = 10493030400. Its totient is φ = 1106680320.

The previous prime is 4002505537. The next prime is 4002505561. The reversal of 4002505542 is 2455052004.

4002505542 is a `hidden beast` number, since 400 + 250 + 5 + 5 + 4 + 2 = 666.

4002505542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40025055422 = 32040101227481427528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159067 + ... + 182502.

It is an arithmetic number, because the mean of its divisors is an integer number (163953600).

Almost surely, 24002505542 is an apocalyptic number.

4002505542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4002505542 is an abundant number, since it is smaller than the sum of its proper divisors (6490524858).

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

4002505542 is a wasteful number, since it uses less digits than its factorization.

4002505542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341618 (or 341612 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 4002505542 is about 63265.3581512031. The cubic root of 4002505542 is about 1587.7324244561.

Adding to 4002505542 its reverse (2455052004), we get a palindrome (6457557546).

The spelling of 4002505542 in words is "four billion, two million, five hundred five thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 341569 683138 1024707 2049414 2390983 3074121 4781966 6148242 7172949 9222363 10588639 14345898 18444726 21177278 21518847 31765917 43037694 63531834 64556541 74120473 95297751 129113082 148240946 190595502 222361419 285893253 444722838 571786506 667084257 1334168514 2001252771 4002505542