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4202934288 = 243712508733
BaseRepresentation
bin1111101010000011…
…1011000000010000
3101211220120011221220
43322200323000100
532101422344123
61533015245040
7206103231510
oct37240730020
911756504856
104202934288
1118674a0813
12993679780
1351c995487
142bc29b840
15198eadce3
hexfa83b010

4202934288 has 40 divisors (see below), whose sum is σ = 12408664128. Its totient is φ = 1200838272.

The previous prime is 4202934271. The next prime is 4202934289. The reversal of 4202934288 is 8824392024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4202934289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6254031 + ... + 6254702.

Almost surely, 24202934288 is an apocalyptic number.

4202934288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4202934288 is an abundant number, since it is smaller than the sum of its proper divisors (8205729840).

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

4202934288 is a wasteful number, since it uses less digits than its factorization.

4202934288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508751 (or 12508745 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4202934288 is about 64830.0415548224. The cubic root of 4202934288 is about 1613.8042938203.

It can be divided in two parts, 420293 and 4288, that added together give a triangular number (424581 = T921).

The spelling of 4202934288 in words is "four billion, two hundred two million, nine hundred thirty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 12508733 25017466 37526199 50034932 75052398 87561131 100069864 150104796 175122262 200139728 262683393 300209592 350244524 525366786 600419184 700489048 1050733572 1400978096 2101467144 4202934288