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4197797984 = 251944915377
BaseRepresentation
bin1111101000110101…
…0101000001100000
3101211112220020021102
43322031111001200
532044114013414
61532313213532
7206011460042
oct37215250140
911745806242
104197797984
111864602836
12991a012a8
1351b8b7643
142bb721a92
151987e6ede
hexfa355060

4197797984 has 48 divisors (see below), whose sum is σ = 8719326000. Its totient is φ = 1983873024.

The previous prime is 4197797977. The next prime is 4197798001. The reversal of 4197797984 is 4897977914.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4197797984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265304 + ... + 280680.

It is an arithmetic number, because the mean of its divisors is an integer number (181652625).

Almost surely, 24197797984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359663000).

4197797984 is an abundant number, since it is smaller than the sum of its proper divisors (4521528016).

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

4197797984 is a wasteful number, since it uses less digits than its factorization.

4197797984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15855 (or 15847 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 65.

The square root of 4197797984 is about 64790.4158344427. The cubic root of 4197797984 is about 1613.1466288204.

The spelling of 4197797984 in words is "four billion, one hundred ninety-seven million, seven hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 449 608 898 1796 3592 7184 8531 14368 15377 17062 30754 34124 61508 68248 123016 136496 246032 272992 292163 492064 584326 1168652 2337304 4674608 6904273 9349216 13808546 27617092 55234184 110468368 131181187 220936736 262362374 524724748 1049449496 2098898992 4197797984