Search a number
-
+
51244282384 = 2417233292
BaseRepresentation
bin101111101110011001…
…011011001000010000
311220021022011021011121
4233232121123020100
51314422014014014
635312530452024
73462611133121
oct575631331020
9156238137147
1051244282384
111a8070748a9
129b21734014
134aa8799ca9
1426a1aaa048
1514edc2b124
hexbee65b210

51244282384 has 45 divisors (see below), whose sum is σ = 105501379207. Its totient is φ = 24107712512.

The previous prime is 51244282363. The next prime is 51244282421. The reversal of 51244282384 is 48328244215.

The square root of 51244282384 is 226372.

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

51244282384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1725571600 + 49518710784 = 41540^2 + 222528^2 .

It is a super-2 number, since 2×512442823842 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51244282384.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15391632 + ... + 15394960.

Almost surely, 251244282384 is an apocalyptic number.

51244282384 is the 226372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51244282384

51244282384 is an abundant number, since it is smaller than the sum of its proper divisors (54257096823).

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

51244282384 is an frugal number, since it uses more digits than its factorization.

51244282384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 3348 counting only the distinct ones).

The product of its digits is 491520, while the sum is 43.

The spelling of 51244282384 in words is "fifty-one billion, two hundred forty-four million, two hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3329 4624 6658 13316 26632 53264 56593 113186 226372 452744 905488 962081 1924162 3848324 7696648 11082241 15393296 22164482 44328964 88657928 177315856 188398097 376796194 753592388 1507184776 3014369552 3202767649 6405535298 12811070596 25622141192 51244282384