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52604964 = 2234229709
BaseRepresentation
bin1100100010101…
…1000000100100
310122222121110000
43020223000210
5101431324324
65115301300
71206064146
oct310530044
9118877400
1052604964
112776a985
121574a830
13ab8acc9
146db4c96
1549419c9
hex322b024

52604964 has 60 divisors (see below), whose sum is σ = 138315100. Its totient is φ = 17433792.

The previous prime is 52604957. The next prime is 52604989. The reversal of 52604964 is 46940625.

It can be written as a sum of positive squares in 2 ways, for example, as 29160000 + 23444964 = 5400^2 + 4842^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73842 + ... + 74550.

Almost surely, 252604964 is an apocalyptic number.

52604964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52604964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69157550).

52604964 is an abundant number, since it is smaller than the sum of its proper divisors (85710136).

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

52604964 is a wasteful number, since it uses less digits than its factorization.

52604964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 52604964 is about 7252.9279604860. The cubic root of 52604964 is about 374.6929967326.

The spelling of 52604964 in words is "fifty-two million, six hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 324 458 687 709 916 1374 1418 2061 2127 2748 2836 4122 4254 6183 6381 8244 8508 12366 12762 18549 19143 24732 25524 37098 38286 57429 74196 76572 114858 162361 229716 324722 487083 649444 974166 1461249 1948332 2922498 4383747 5844996 8767494 13151241 17534988 26302482 52604964