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2831247252 = 22321737971289
BaseRepresentation
bin1010100011000001…
…0110011110010100
321022022111021002100
42220300112132110
521244244403002
61144535242100
7130106130111
oct25060263624
97268437070
102831247252
11122318aa69
12670219330
1336174ab42
141cc039908
1511885d11c
hexa8c16794

2831247252 has 144 divisors (see below), whose sum is σ = 7868886480. Its totient is φ = 854654976.

The previous prime is 2831247239. The next prime is 2831247271. The reversal of 2831247252 is 2527421382.

2831247252 is a `hidden beast` number, since 283 + 124 + 7 + 252 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 693479556 + 2137767696 = 26334^2 + 46236^2 .

It is a super-2 number, since 2×28312472522 = 16031922003915103008, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2195824 + ... + 2197112.

It is an arithmetic number, because the mean of its divisors is an integer number (54645045).

Almost surely, 22831247252 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 2831247252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934443240).

2831247252 is an abundant number, since it is smaller than the sum of its proper divisors (5037639228).

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

2831247252 is a wasteful number, since it uses less digits than its factorization.

2831247252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1445 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2831247252 is about 53209.4658120151. The cubic root of 2831247252 is about 1414.6834274546.

The spelling of 2831247252 in words is "two billion, eight hundred thirty-one million, two hundred forty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 97 102 111 148 153 194 204 222 291 306 333 388 444 582 612 629 666 873 1164 1258 1289 1332 1649 1746 1887 2516 2578 3298 3492 3589 3774 3867 4947 5156 5661 6596 7178 7548 7734 9894 10767 11322 11601 14356 14841 15468 19788 21534 21913 22644 23202 29682 32301 43068 43826 46404 47693 59364 61013 64602 65739 87652 95386 122026 125033 129204 131478 143079 183039 190772 197217 244052 250066 262956 286158 366078 375099 394434 429237 500132 549117 572316 732156 750198 788868 810781 858474 1098234 1125297 1500396 1621562 1716948 2125561 2196468 2250594 2432343 3243124 4251122 4501188 4626221 4864686 6376683 7297029 8502244 9252442 9729372 12753366 13878663 14594058 18504884 19130049 25506732 27757326 29188116 38260098 41635989 55514652 76520196 78645757 83271978 157291514 166543956 235937271 314583028 471874542 707811813 943749084 1415623626 2831247252