Search a number
-
+
46530612 = 22310197
BaseRepresentation
bin1011000110000…
…0000000110100
310020120000000000
42301200000310
543402434422
64341151300
71103334522
oct261400064
9106500000
1046530612
11242a1157
12136bb530
13984220b
146273312
154141cac
hex2c60034

46530612 has 66 divisors (see below), whose sum is σ = 122762178. Its totient is φ = 15431472.

The previous prime is 46530557. The next prime is 46530619. The reversal of 46530612 is 21603564.

46530612 is a `hidden beast` number, since 4 + 653 + 0 + 6 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 236196 = 6804^2 + 486^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46530619) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 236098 + ... + 236294.

It is an arithmetic number, because the mean of its divisors is an integer number (1860033).

Almost surely, 246530612 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 46530612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61381089).

46530612 is an abundant number, since it is smaller than the sum of its proper divisors (76231566).

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

46530612 is an equidigital number, since it uses as much as digits as its factorization.

46530612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 46530612 is about 6821.3350599424. The cubic root of 46530612 is about 359.6772106616.

The spelling of 46530612 in words is "forty-six million, five hundred thirty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 243 324 394 486 591 729 788 972 1182 1458 1773 2187 2364 2916 3546 4374 5319 6561 7092 8748 10638 13122 15957 19683 21276 26244 31914 39366 47871 59049 63828 78732 95742 118098 143613 191484 236196 287226 430839 574452 861678 1292517 1723356 2585034 3877551 5170068 7755102 11632653 15510204 23265306 46530612