Search a number
-
+
46141732 = 2273132199
BaseRepresentation
bin1011000000000…
…1000100100100
310012211020120001
42300001010210
543303013412
64324551044
71100125000
oct260010444
9105736501
1046141732
1124055a6a
1213552484
139737200
1461b1700
1540b6957
hex2c01124

46141732 has 72 divisors (see below), whose sum is σ = 102480000. Its totient is φ = 18162144.

The previous prime is 46141729. The next prime is 46141741. The reversal of 46141732 is 23714164.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 46141732.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231769 + ... + 231967.

Almost surely, 246141732 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 46141732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51240000).

46141732 is an abundant number, since it is smaller than the sum of its proper divisors (56338268).

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

46141732 is a wasteful number, since it uses less digits than its factorization.

46141732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 46141732 is about 6792.7705687738. The cubic root of 46141732 is about 358.6724043956.

Adding to 46141732 its reverse (23714164), we get a palindrome (69855896).

It can be divided in two parts, 46 and 141732, that added together give a triangular number (141778 = T532).

The spelling of 46141732 in words is "forty-six million, one hundred forty-one thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 199 338 343 364 398 637 676 686 796 1183 1274 1372 1393 2366 2548 2587 2786 4459 4732 5174 5572 8281 8918 9751 10348 16562 17836 18109 19502 33124 33631 36218 39004 57967 67262 68257 72436 115934 126763 134524 136514 231868 235417 253526 273028 470834 507052 887341 941668 1647919 1774682 3295838 3549364 6591676 11535433 23070866 46141732