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293681052 = 22357172539
BaseRepresentation
bin10001100000010…
…011011110011100
3202110121112200000
4101200103132130
51100140243202
645050334300
710164150660
oct2140233634
9673545600
10293681052
11140858a15
128242a390
1348ac7892
142b00a8a0
151abb191c
hex1181379c

293681052 has 144 divisors (see below), whose sum is σ = 931956480. Its totient is φ = 78941952.

The previous prime is 293681029. The next prime is 293681071. The reversal of 293681052 is 250186392.

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

It is a junction number, because it is equal to n+sod(n) for n = 293680998 and 293681016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114399 + ... + 116937.

It is an arithmetic number, because the mean of its divisors is an integer number (6471920).

Almost surely, 2293681052 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 293681052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

293681052 is an abundant number, since it is smaller than the sum of its proper divisors (638275428).

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

293681052 is a wasteful number, since it uses less digits than its factorization.

293681052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 293681052 is about 17137.1249630736. The cubic root of 293681052 is about 664.6994341487.

The spelling of 293681052 in words is "two hundred ninety-three million, six hundred eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1071 1134 1377 1428 1701 1836 2142 2268 2539 2754 3213 3402 4131 4284 5078 5508 6426 6804 7617 8262 9639 10156 12852 15234 16524 17773 19278 22851 28917 30468 35546 38556 43163 45702 53319 57834 68553 71092 86326 91404 106638 115668 129489 137106 159957 172652 205659 213276 258978 274212 302141 319914 388467 411318 479871 517956 604282 616977 639828 776934 822636 906423 959742 1165401 1208564 1233954 1439613 1553868 1812846 1919484 2330802 2467908 2719269 2879226 3496203 3625692 4318839 4661604 5438538 5758452 6992406 8157807 8637678 10488609 10877076 13984812 16315614 17275356 20977218 24473421 32631228 41954436 48946842 73420263 97893684 146840526 293681052