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4212250440 = 2335139252533
BaseRepresentation
bin1111101100010001…
…1101011101001000
3101212120002111022120
43323010131131020
532111314003230
61533551051240
7206245352346
oct37304353510
911776074276
104212250440
111871784112
12996810b20
135218a79a8
142bd604996
15199bee310
hexfb11d748

4212250440 has 64 divisors (see below), whose sum is σ = 12727713600. Its totient is φ = 1115181312.

The previous prime is 4212250423. The next prime is 4212250477. The reversal of 4212250440 is 440522124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4212250440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109587 + ... + 142946.

It is an arithmetic number, because the mean of its divisors is an integer number (198870525).

Almost surely, 24212250440 is an apocalyptic number.

4212250440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212250440 is an abundant number, since it is smaller than the sum of its proper divisors (8515463160).

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

4212250440 is a wasteful number, since it uses less digits than its factorization.

4212250440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252686 (or 252682 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4212250440 is about 64901.8523618548. The cubic root of 4212250440 is about 1614.9957908685.

Adding to 4212250440 its reverse (440522124), we get a palindrome (4652772564).

The spelling of 4212250440 in words is "four billion, two hundred twelve million, two hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 252533 505066 757599 1010132 1262665 1515198 2020264 2525330 3030396 3787995 5050660 6060792 7575990 10101320 15151980 30303960 35102087 70204174 105306261 140408348 175510435 210612522 280816696 351020870 421225044 526531305 702041740 842450088 1053062610 1404083480 2106125220 4212250440