Search a number
-
+
46509912 = 23321933347
BaseRepresentation
bin1011000101101…
…0111101011000
310020111221121100
42301122331120
543401304122
64340511400
71103220261
oct261327530
9106457540
1046509912
1124287649
12136ab560
139835977
146269968
15413aaac
hex2c5af58

46509912 has 48 divisors (see below), whose sum is σ = 126654840. Its totient is φ = 15418368.

The previous prime is 46509901. The next prime is 46509917. The reversal of 46509912 is 21990564.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46509917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12223 + ... + 15569.

Almost surely, 246509912 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 46509912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63327420).

46509912 is an abundant number, since it is smaller than the sum of its proper divisors (80144928).

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

46509912 is a wasteful number, since it uses less digits than its factorization.

46509912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 46509912 is about 6819.8175928686. The cubic root of 46509912 is about 359.6238664059.

The spelling of 46509912 in words is "forty-six million, five hundred nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3347 3474 4632 6694 6948 10041 13388 13896 20082 26776 30123 40164 60246 80328 120492 240984 645971 1291942 1937913 2583884 3875826 5167768 5813739 7751652 11627478 15503304 23254956 46509912