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52444116 = 223217671279
BaseRepresentation
bin1100100000001…
…1101111010100
310122200102210200
43020003233110
5101411202431
65112020500
71204524204
oct310035724
9118612720
1052444116
112767004a
1215691730
13ab32a2a
146d72404
15490dee6
hex3203bd4

52444116 has 72 divisors (see below), whose sum is σ = 142571520. Its totient is φ = 16194816.

The previous prime is 52444111. The next prime is 52444121. The reversal of 52444116 is 61144425.

52444116 is a `hidden beast` number, since 5 + 244 + 411 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (52444111) and next prime (52444121).

It is a self number, because there is not a number n which added to its sum of digits gives 52444116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52444111) 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, 40365 + ... + 41643.

It is an arithmetic number, because the mean of its divisors is an integer number (1980160).

Almost surely, 252444116 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 52444116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760).

52444116 is an abundant number, since it is smaller than the sum of its proper divisors (90127404).

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

52444116 is a wasteful number, since it uses less digits than its factorization.

52444116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1368 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 52444116 is about 7241.8309839432. The cubic root of 52444116 is about 374.3107124635.

The spelling of 52444116 in words is "fifty-two million, four hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1139 1206 1279 2278 2412 2558 3417 3837 4556 5116 6834 7674 10251 11511 13668 15348 20502 21743 23022 41004 43486 46044 65229 85693 86972 130458 171386 195687 257079 260916 342772 391374 514158 771237 782748 1028316 1456781 1542474 2913562 3084948 4370343 5827124 8740686 13111029 17481372 26222058 52444116