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2085508152 = 2332713318301
BaseRepresentation
bin111110001001110…
…0101010000111000
312101100020210100200
41330103211100320
513232342230102
6542535402200
7102452345460
oct17423452070
95340223320
102085508152
11980240162
124a2523360
132730b58c0
1415ad96ba0
15c315351c
hex7c4e5438

2085508152 has 96 divisors (see below), whose sum is σ = 6951715680. Its totient is φ = 550022400.

The previous prime is 2085508147. The next prime is 2085508157. The reversal of 2085508152 is 2518055802.

2085508152 is a `hidden beast` number, since 20 + 8 + 550 + 81 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2085508147) and next prime (2085508157).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085508157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152599 + ... + 165702.

It is an arithmetic number, because the mean of its divisors is an integer number (72413705).

Almost surely, 22085508152 is an apocalyptic number.

It is an amenable number.

2085508152 is an abundant number, since it is smaller than the sum of its proper divisors (4866207528).

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

2085508152 is a wasteful number, since it uses less digits than its factorization.

2085508152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318333 (or 318326 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 2085508152 is about 45667.3641893201. The cubic root of 2085508152 is about 1277.6266551816.

The spelling of 2085508152 in words is "two billion, eighty-five million, five hundred eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 318301 636602 954903 1273204 1909806 2228107 2546408 2864709 3819612 4137913 4456214 5729418 6684321 7639224 8275826 8912428 11458836 12413739 13368642 16551652 17824856 20052963 22917672 24827478 26737284 28965391 33103304 37241217 40105926 49654956 53474568 57930782 74482434 80211852 86896173 99309912 115861564 148964868 160423704 173792346 231723128 260688519 297929736 347584692 521377038 695169384 1042754076 2085508152