Search a number
-
+
51741864 = 233219109347
BaseRepresentation
bin1100010101100…
…0010010101000
310121100202111100
43011120102220
5101221214424
65045001400
71165540626
oct305302250
9117322440
1051741864
1127230479
12153b3260
13a9481b5
146c2c516
154820dc9
hex31584a8

51741864 has 96 divisors (see below), whose sum is σ = 149292000. Its totient is φ = 16142976.

The previous prime is 51741839. The next prime is 51741871. The reversal of 51741864 is 46814715.

It is a happy number.

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

Its product of digits (26880) is a multiple of the sum of its prime divisors (480).

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, 148939 + ... + 149285.

It is an arithmetic number, because the mean of its divisors is an integer number (1555125).

Almost surely, 251741864 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 51741864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74646000).

51741864 is an abundant number, since it is smaller than the sum of its proper divisors (97550136).

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

51741864 is a wasteful number, since it uses less digits than its factorization.

51741864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 51741864 is about 7193.1817716502. The cubic root of 51741864 is about 372.6324655376.

The spelling of 51741864 in words is "fifty-one million, seven hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 109 114 152 171 218 228 327 342 347 436 456 654 684 694 872 981 1041 1308 1368 1388 1962 2071 2082 2616 2776 3123 3924 4142 4164 6213 6246 6593 7848 8284 8328 12426 12492 13186 16568 18639 19779 24852 24984 26372 37278 37823 39558 49704 52744 59337 74556 75646 79116 113469 118674 149112 151292 158232 226938 237348 302584 340407 453876 474696 680814 718637 907752 1361628 1437274 2155911 2723256 2874548 4311822 5749096 6467733 8623644 12935466 17247288 25870932 51741864