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4693686240 = 253546720939
BaseRepresentation
bin1000101111100001…
…11111011111100000
3110010002222222002010
410113300333133200
534103040424430
62053425552520
7224212450305
oct42760773740
913102888063
104693686240
111a99510a41
12aabaa5740
1359a560049
143275270ac
151c70ebcb0
hex117c3f7e0

4693686240 has 96 divisors (see below), whose sum is σ = 14817479040. Its totient is φ = 1248909824.

The previous prime is 4693686233. The next prime is 4693686259. The reversal of 4693686240 is 426863964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4693686240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213691 + ... + 234629.

It is an arithmetic number, because the mean of its divisors is an integer number (154348740).

Almost surely, 24693686240 is an apocalyptic number.

4693686240 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 4693686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408739520).

4693686240 is an abundant number, since it is smaller than the sum of its proper divisors (10123792800).

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

4693686240 is a wasteful number, since it uses less digits than its factorization.

4693686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21424 (or 21416 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 4693686240 is about 68510.4827015545. The cubic root of 4693686240 is about 1674.3182778612.

The spelling of 4693686240 in words is "four billion, six hundred ninety-three million, six hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 467 480 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 14010 14944 18680 20939 22416 28020 37360 41878 44832 56040 62817 74720 83756 104695 112080 125634 167512 209390 224160 251268 314085 335024 418780 502536 628170 670048 837560 1005072 1256340 1675120 2010144 2512680 3350240 5025360 9778513 10050720 19557026 29335539 39114052 48892565 58671078 78228104 97785130 117342156 146677695 156456208 195570260 234684312 293355390 312912416 391140520 469368624 586710780 782281040 938737248 1173421560 1564562080 2346843120 4693686240