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2093672152 = 23111323471693
BaseRepresentation
bin111110011001010…
…1110011011011000
312101220121120021001
41330302232123120
513241440002102
6543430354344
7102611630305
oct17462563330
95356546231
102093672152
11984906970
124a51bb9b4
132749b3880
1415c0c00ac
15c3c17487
hex7ccae6d8

2093672152 has 128 divisors (see below), whose sum is σ = 4917749760. Its totient is φ = 821905920.

The previous prime is 2093672143. The next prime is 2093672219. The reversal of 2093672152 is 2512763902.

It is a super-2 number, since 2×20936721522 = 8766926160120622208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235818 + ... + 1237510.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 22093672152 is an apocalyptic number.

2093672152 is a gapful number since it is divisible by the number (22) 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 2093672152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458874880).

2093672152 is an abundant number, since it is smaller than the sum of its proper divisors (2824077608).

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

2093672152 is a wasteful number, since it uses less digits than its factorization.

2093672152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 2093672152 is about 45756.6623782810. The cubic root of 2093672152 is about 1279.2916311637.

The spelling of 2093672152 in words is "two billion, ninety-three million, six hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 47 52 88 92 94 104 143 184 188 253 286 299 376 506 517 572 598 611 1012 1034 1081 1144 1196 1222 1693 2024 2068 2162 2392 2444 3289 3386 4136 4324 4888 6578 6721 6772 8648 11891 13156 13442 13544 14053 18623 22009 23782 26312 26884 28106 37246 38939 44018 47564 53768 56212 74492 77878 79571 88036 95128 112424 148984 154583 155756 159142 176072 242099 309166 311512 318284 428329 484198 506207 618332 636568 856658 875281 968396 1012414 1034423 1236664 1713316 1750562 1830133 1936792 2024828 2068846 3426632 3501124 3660266 4049656 4137692 5568277 7002248 7320532 8275384 11136554 11378653 14641064 20131463 22273108 22757306 23791729 40262926 44546216 45514612 47583458 80525852 91029224 95166916 161051704 190333832 261709019 523418038 1046836076 2093672152