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4252314420 = 22325148715887
BaseRepresentation
bin1111110101110101…
…0010101100110100
3101222100110221202200
43331131102230310
532202043030140
61541541504500
7210243035064
oct37535225464
911870427680
104252314420
111892358842
129a8112130
13529c946a3
142c4a733a4
1519d4b5030
hexfd752b34

4252314420 has 72 divisors (see below), whose sum is σ = 12908173824. Its totient is φ = 1133116608.

The previous prime is 4252314401. The next prime is 4252314461. The reversal of 4252314420 is 244132524.

4252314420 is a `hidden beast` number, since 4 + 2 + 5 + 231 + 4 + 420 = 666.

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 23 ways as a sum of consecutive naturals, for example, 259717 + ... + 275603.

It is an arithmetic number, because the mean of its divisors is an integer number (179280192).

Almost surely, 24252314420 is an apocalyptic number.

It is an amenable number.

4252314420 is an abundant number, since it is smaller than the sum of its proper divisors (8655859404).

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

4252314420 is a wasteful number, since it uses less digits than its factorization.

4252314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17389 (or 17384 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4252314420 is about 65209.7724271447. The cubic root of 4252314420 is about 1620.0998795301.

Adding to 4252314420 its reverse (244132524), we get a palindrome (4496446944).

The spelling of 4252314420 in words is "four billion, two hundred fifty-two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1487 2974 4461 5948 7435 8922 13383 14870 15887 17844 22305 26766 29740 31774 44610 47661 53532 63548 66915 79435 89220 95322 133830 142983 158870 190644 238305 267660 285966 317740 476610 571932 714915 953220 1429830 2859660 23623969 47247938 70871907 94495876 118119845 141743814 212615721 236239690 283487628 354359535 425231442 472479380 708719070 850462884 1063078605 1417438140 2126157210 4252314420