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662506164 = 2232373531409
BaseRepresentation
bin100111011111010…
…000101010110100
31201011121210121100
4213133100222310
52324100144124
6145423450100
722263131565
oct4737205264
91634553540
10662506164
1130aa70761
12165a56930
13a73424a8
1463db816c
153d2681c9
hex277d0ab4

662506164 has 72 divisors (see below), whose sum is σ = 1726026120. Its totient is φ = 214106112.

The previous prime is 662506157. The next prime is 662506199. The reversal of 662506164 is 461605266.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36505764 + 626000400 = 6042^2 + 25020^2 .

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

It is a congruent number.

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, 469492 + ... + 470900.

It is an arithmetic number, because the mean of its divisors is an integer number (23972585).

Almost surely, 2662506164 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 662506164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863013060).

662506164 is an abundant number, since it is smaller than the sum of its proper divisors (1063519956).

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

662506164 is a wasteful number, since it uses less digits than its factorization.

662506164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

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

The square root of 662506164 is about 25739.1950923101. The cubic root of 662506164 is about 871.7594042762.

The spelling of 662506164 in words is "six hundred sixty-two million, five hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 353 444 666 706 1059 1332 1409 1412 2118 2818 3177 4227 4236 5636 6354 8454 12681 12708 13061 16908 25362 26122 39183 50724 52133 52244 78366 104266 117549 156399 156732 208532 235098 312798 469197 470196 497377 625596 938394 994754 1492131 1876788 1989508 2984262 4476393 5968524 8952786 17905572 18402949 36805898 55208847 73611796 110417694 165626541 220835388 331253082 662506164