Search a number
-
+
2066526252 = 2232767712113
BaseRepresentation
bin111101100101100…
…1011000000101100
312100000112102002100
41323023023000230
513213012320002
6541020455100
7102132116610
oct17313130054
95300472070
102066526252
1197055583a
124980aa490
1326c19a9cb
14158655340
15c165411c
hex7b2cb02c

2066526252 has 72 divisors (see below), whose sum is σ = 5979276576. Its totient is φ = 589515264.

The previous prime is 2066526227. The next prime is 2066526299. The reversal of 2066526252 is 2526256602.

2066526252 is a `hidden beast` number, since 20 + 6 + 6 + 5 + 2 + 625 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 164548 + ... + 176660.

It is an arithmetic number, because the mean of its divisors is an integer number (83045508).

Almost surely, 22066526252 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 2066526252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989638288).

2066526252 is an abundant number, since it is smaller than the sum of its proper divisors (3912750324).

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

2066526252 is a wasteful number, since it uses less digits than its factorization.

2066526252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2066526252 is about 45459.0612749538. The cubic root of 2066526252 is about 1273.7385965196.

The spelling of 2066526252 in words is "two billion, sixty-six million, five hundred twenty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 677 1354 2031 2708 4062 4739 6093 8124 9478 12113 12186 14217 18956 24226 24372 28434 36339 42651 48452 56868 72678 84791 85302 109017 145356 169582 170604 218034 254373 339164 436068 508746 763119 1017492 1526238 3052476 8200501 16401002 24601503 32802004 49203006 57403507 73804509 98406012 114807014 147609018 172210521 229614028 295218036 344421042 516631563 688842084 1033263126 2066526252