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4189252440 = 233534910437
BaseRepresentation
bin1111100110110010…
…1110101101011000
3101210221211001222210
43321230232231120
532034422034230
61531410115120
7205546025652
oct37154565530
911727731883
104189252440
11185a7a63aa
1298ab7baa0
13519bb4ac9
142ba5396d2
15197ba9eb0
hexf9b2eb58

4189252440 has 32 divisors (see below), whose sum is σ = 12567757680. Its totient is φ = 1117133952.

The previous prime is 4189252433. The next prime is 4189252471. The reversal of 4189252440 is 442529814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17455099 + ... + 17455338.

Almost surely, 24189252440 is an apocalyptic number.

4189252440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4189252440 is an abundant number, since it is smaller than the sum of its proper divisors (8378505240).

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

4189252440 is a wasteful number, since it uses less digits than its factorization.

4189252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34910451 (or 34910447 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4189252440 is about 64724.4346441126. The cubic root of 4189252440 is about 1612.0512465570.

The spelling of 4189252440 in words is "four billion, one hundred eighty-nine million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34910437 69820874 104731311 139641748 174552185 209462622 279283496 349104370 418925244 523656555 698208740 837850488 1047313110 1396417480 2094626220 4189252440