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52506090 = 23357132137
BaseRepresentation
bin1100100001001…
…0110111101010
310122210120211000
43020102313222
5101420143330
65113215430
71205202660
oct310226752
9118716730
1052506090
112770266a
1215701576
13ab54cc0
146d8ac30
154922560
hex3212dea

52506090 has 128 divisors (see below), whose sum is σ = 172408320. Its totient is φ = 11073024.

The previous prime is 52506061. The next prime is 52506119. The reversal of 52506090 is 9060525.

52506090 is a `hidden beast` number, since 5 + 2 + 50 + 609 + 0 = 666.

52506090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52506061) and next prime (52506119).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 23502 + ... + 25638.

It is an arithmetic number, because the mean of its divisors is an integer number (1346940).

Almost surely, 252506090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52506090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86204160).

52506090 is an abundant number, since it is smaller than the sum of its proper divisors (119902230).

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

52506090 is a wasteful number, since it uses less digits than its factorization.

52506090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52506090 is about 7246.1086108338. The cubic root of 52506090 is about 374.4580972877.

The spelling of 52506090 in words is "fifty-two million, five hundred six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2137 2457 2730 3510 4095 4274 4914 6411 8190 10685 12285 12822 14959 19233 21370 24570 27781 29918 32055 38466 44877 55562 57699 64110 74795 83343 89754 96165 115398 134631 138905 149590 166686 192330 194467 224385 250029 269262 277810 288495 388934 403893 416715 448770 500058 576990 583401 673155 750087 807786 833430 972335 1166802 1250145 1346310 1500174 1750203 1944670 2019465 2500290 2917005 3500406 3750435 4038930 5250609 5834010 7500870 8751015 10501218 17502030 26253045 52506090