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52984404 = 223211671997
BaseRepresentation
bin1100101000011…
…1101001010100
310200200212221100
43022013221110
5102031000104
65131350100
71212234324
oct312075124
9120625840
1052984404
11279a9a70
12158b2330
13ac91925
147073284
1549b9139
hex3287a54

52984404 has 72 divisors (see below), whose sum is σ = 148363488. Its totient is φ = 15808320.

The previous prime is 52984403. The next prime is 52984409. The reversal of 52984404 is 40448925.

52984404 = T89 + T90 + ... + T682.

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 (52984403) 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, 25534 + ... + 27530.

It is an arithmetic number, because the mean of its divisors is an integer number (2060604).

Almost surely, 252984404 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 52984404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74181744).

52984404 is an abundant number, since it is smaller than the sum of its proper divisors (95379084).

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

52984404 is a wasteful number, since it uses less digits than its factorization.

52984404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52984404 is about 7279.0386727919. The cubic root of 52984404 is about 375.5917271329.

The spelling of 52984404 in words is "fifty-two million, nine hundred eighty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 1997 2211 2412 2948 3994 4422 5991 6633 7988 8844 11982 13266 17973 21967 23964 26532 35946 43934 65901 71892 87868 131802 133799 197703 263604 267598 395406 401397 535196 790812 802794 1204191 1471789 1605588 2408382 2943578 4415367 4816764 5887156 8830734 13246101 17661468 26492202 52984404