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4197999320 = 235731519521
BaseRepresentation
bin1111101000111000…
…0110001011011000
3101211120021110110022
43322032012023120
532044141434240
61532321410012
7206013256034
oct37216061330
911746243408
104197999320
111864730029
12991a99908
1351b958188
142bb7751c4
151988369b5
hexfa3862d8

4197999320 has 64 divisors (see below), whose sum is σ = 9639311040. Its totient is φ = 1645056000.

The previous prime is 4197999319. The next prime is 4197999331. The reversal of 4197999320 is 239997914.

4197999320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436160 + ... + 445680.

It is an arithmetic number, because the mean of its divisors is an integer number (150614235).

Almost surely, 24197999320 is an apocalyptic number.

4197999320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197999320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819655520).

4197999320 is an abundant number, since it is smaller than the sum of its proper divisors (5441311720).

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

4197999320 is a wasteful number, since it uses less digits than its factorization.

4197999320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 53.

The square root of 4197999320 is about 64791.9695641366. The cubic root of 4197999320 is about 1613.1724184764.

The spelling of 4197999320 in words is "four billion, one hundred ninety-seven million, nine hundred ninety-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 151 292 302 365 584 604 730 755 1208 1460 1510 2920 3020 6040 9521 11023 19042 22046 38084 44092 47605 55115 76168 88184 95210 110230 190420 220460 380840 440920 695033 1390066 1437671 2780132 2875342 3475165 5560264 5750684 6950330 7188355 11501368 13900660 14376710 27801320 28753420 57506840 104949983 209899966 419799932 524749915 839599864 1049499830 2098999660 4197999320