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4200019488 = 253272083343
BaseRepresentation
bin1111101001010111…
…0011011000100000
3101211201002002121100
43322111303120200
532100201110423
61532432554400
7206036401530
oct37225633040
911751062540
104200019488
11186588a895
129926b2a00
1351c1b4842
142bbb3d4c0
15198ad5343
hexfa573620

4200019488 has 72 divisors (see below), whose sum is σ = 13650069888. Its totient is φ = 1200004992.

The previous prime is 4200019471. The next prime is 4200019493. The reversal of 4200019488 is 8849100024.

4200019488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039656 + ... + 1043687.

It is an arithmetic number, because the mean of its divisors is an integer number (189584304).

Almost surely, 24200019488 is an apocalyptic number.

4200019488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4200019488 is an abundant number, since it is smaller than the sum of its proper divisors (9450050400).

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

4200019488 is a wasteful number, since it uses less digits than its factorization.

4200019488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083366 (or 2083355 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4200019488 is about 64807.5573370884. The cubic root of 4200019488 is about 1613.4311414570.

The spelling of 4200019488 in words is "four billion, two hundred million, nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2083343 4166686 6250029 8333372 12500058 14583401 16666744 18750087 25000116 29166802 33333488 37500174 43750203 50000232 58333604 66666976 75000348 87500406 100000464 116667208 131250609 150000696 175000812 200000928 233334416 262501218 300001392 350001624 466668832 525002436 600002784 700003248 1050004872 1400006496 2100009744 4200019488