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636049968 = 243173072539
BaseRepresentation
bin100101111010010…
…101101000110000
31122022211200112020
4211322111220300
52300312044333
6143040431440
721522223041
oct4572255060
91568750466
10636049968
112a7040834
12159018580
13a1a0b538
146068c8c8
153ac8e3b3
hex25e95a30

636049968 has 80 divisors (see below), whose sum is σ = 1746138240. Its totient is φ = 198816768.

The previous prime is 636049957. The next prime is 636049987. The reversal of 636049968 is 869940636.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 636049968.

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, 249243 + ... + 251781.

It is an arithmetic number, because the mean of its divisors is an integer number (21826728).

Almost surely, 2636049968 is an apocalyptic number.

636049968 is a gapful number since it is divisible by the number (68) 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 636049968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873069120).

636049968 is an abundant number, since it is smaller than the sum of its proper divisors (1110088272).

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

636049968 is a wasteful number, since it uses less digits than its factorization.

636049968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 636049968 is about 25220.0310864202. The cubic root of 636049968 is about 859.9972814048.

The spelling of 636049968 in words is "six hundred thirty-six million, forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 307 408 614 816 921 1228 1842 2456 2539 3684 4912 5078 5219 7368 7617 10156 10438 14736 15234 15657 20312 20876 30468 31314 40624 41752 43163 60936 62628 83504 86326 121872 125256 129489 172652 250512 258978 345304 517956 690608 779473 1035912 1558946 2071824 2338419 3117892 4676838 6235784 9353676 12471568 13251041 18707352 26502082 37414704 39753123 53004164 79506246 106008328 159012492 212016656 318024984 636049968