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51746240484 = 223231212232
BaseRepresentation
bin110000001100010100…
…001111011111100100
311221120021200101020100
4300030110033133210
51321434014143414
635434421304100
73511214533611
oct601424173744
9157507611210
1051746240484
111aa44449404
12a041865030
134b58789413
14270c611508
15152cd2e609
hexc0c50f7e4

51746240484 has 81 divisors (see below), whose sum is σ = 135269163939. Its totient is φ = 16678686960.

The previous prime is 51746240473. The next prime is 51746240503. The reversal of 51746240484 is 48404264715.

The square root of 51746240484 is 227478.

It is a perfect power (a square), and thus also a powerful number.

51746240484 is a `hidden beast` number, since 5 + 1 + 74 + 62 + 40 + 484 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42310297 + ... + 42311519.

Almost surely, 251746240484 is an apocalyptic number.

51746240484 is the 227478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51746240484

51746240484 is an abundant number, since it is smaller than the sum of its proper divisors (83522923455).

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

51746240484 is a wasteful number, since it uses less digits than its factorization.

51746240484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

It can be divided in two parts, 51746 and 240484, that added together give a triangular number (292230 = T764).

The spelling of 51746240484 in words is "fifty-one billion, seven hundred forty-six million, two hundred forty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1223 1922 2446 2883 3669 3844 4892 5766 7338 8649 11007 11532 14676 17298 22014 34596 37913 44028 75826 113739 151652 227478 341217 454956 682434 1175303 1364868 1495729 2350606 2991458 3525909 4487187 4701212 5982916 7051818 8974374 10577727 13461561 14103636 17948748 21155454 26923122 42310908 46367599 53846244 92735198 139102797 185470396 278205594 417308391 556411188 834616782 1437395569 1669233564 2874791138 4312186707 5749582276 8624373414 12936560121 17248746828 25873120242 51746240484