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252110404 = 227131076473
BaseRepresentation
bin11110000011011…
…10011001000100
3122120101112110101
433001232121010
51004020013104
641003333444
76150621520
oct1701563104
9576345411
10252110404
1111a345307
1270521284
1340301170
14256a8d80
15171ee5a4
hexf06e644

252110404 has 48 divisors (see below), whose sum is σ = 548166528. Its totient is φ = 98788608.

The previous prime is 252110401. The next prime is 252110423. The reversal of 252110404 is 404011252.

It is not an unprimeable number, because it can be changed into a prime (252110401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35712 + ... + 42184.

It is an arithmetic number, because the mean of its divisors is an integer number (11420136).

Almost surely, 2252110404 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 252110404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274083264).

252110404 is an abundant number, since it is smaller than the sum of its proper divisors (296056124).

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

252110404 is a wasteful number, since it uses less digits than its factorization.

252110404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 252110404 is about 15877.9848847390. The cubic root of 252110404 is about 631.7281885422.

Adding to 252110404 its reverse (404011252), we get a palindrome (656121656).

The spelling of 252110404 in words is "two hundred fifty-two million, one hundred ten thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 107 182 214 364 428 749 1391 1498 2782 2996 5564 6473 9737 12946 19474 25892 38948 45311 84149 90622 168298 181244 336596 589043 692611 1178086 1385222 2356172 2770444 4848277 9003943 9696554 18007886 19393108 36015772 63027601 126055202 252110404