Search a number
-
+
132850648 = 23717532633
BaseRepresentation
bin1111110101100…
…10001111011000
3100020222111211101
413322302033120
5233002210043
621103241144
73202132450
oct772621730
9306874741
10132850648
1168a99727
12385a91b4
13216a6168
1413902d60
15b9e324d
hex7eb23d8

132850648 has 64 divisors (see below), whose sum is σ = 307229760. Its totient is φ = 52555776.

The previous prime is 132850643. The next prime is 132850651. The reversal of 132850648 is 846058231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132850643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49140 + ... + 51772.

It is an arithmetic number, because the mean of its divisors is an integer number (4800465).

Almost surely, 2132850648 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 132850648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153614880).

132850648 is an abundant number, since it is smaller than the sum of its proper divisors (174379112).

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

132850648 is a wasteful number, since it uses less digits than its factorization.

132850648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 132850648 is about 11526.0855454053. The cubic root of 132850648 is about 510.2557323117.

The spelling of 132850648 in words is "one hundred thirty-two million, eight hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 212 238 371 424 476 742 901 952 1484 1802 2633 2968 3604 5266 6307 7208 10532 12614 18431 21064 25228 36862 44761 50456 73724 89522 139549 147448 179044 279098 313327 358088 558196 626654 976843 1116392 1253308 1953686 2372333 2506616 3907372 4744666 7814744 9489332 16606331 18978664 33212662 66425324 132850648