[go: up one dir, main page]

Search a number
-
+
51744924 = 223271121697
BaseRepresentation
bin1100010101100…
…1000010011100
310121100220200200
43011121002130
5101221314144
65045023500
71165552560
oct305310234
9117326620
1051744924
1127232800
12153b4b90
13a9496ca
146c2d6a0
154821c69
hex315909c

51744924 has 108 divisors (see below), whose sum is σ = 164407152. Its totient is φ = 13432320.

The previous prime is 51744887. The next prime is 51744937. The reversal of 51744924 is 42944715.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29644 + ... + 31340.

Almost surely, 251744924 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 51744924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82203576).

51744924 is an abundant number, since it is smaller than the sum of its proper divisors (112662228).

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

51744924 is a wasteful number, since it uses less digits than its factorization.

51744924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1720 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 51744924 is about 7193.3944699286. The cubic root of 51744924 is about 372.6398111876.

The spelling of 51744924 in words is "fifty-one million, seven hundred forty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 1697 2178 2541 2772 3388 3394 4356 5082 5091 6788 7623 10164 10182 11879 15246 15273 18667 20364 23758 30492 30546 35637 37334 47516 56001 61092 71274 74668 106911 112002 130669 142548 168003 205337 213822 224004 261338 336006 392007 410674 427644 522676 616011 672012 784014 821348 1176021 1232022 1437359 1568028 1848033 2352042 2464044 2874718 3696066 4312077 4704084 5749436 7392132 8624154 12936231 17248308 25872462 51744924