Search a number
-
+
48624127956 = 223616674941
BaseRepresentation
bin101101010010001110…
…010100111111010100
311122111200212122000000
4231102032110333110
51244040234043311
634200531451300
73340644160665
oct552216247724
9148450778000
1048624127956
1119692064018
129510156b30
13477b9bb561
1424d3add36c
1513e8bb9056
hexb52394fd4

48624127956 has 42 divisors (see below), whose sum is σ = 127579981242. Its totient is φ = 16208041680.

The previous prime is 48624127949. The next prime is 48624127963. The reversal of 48624127956 is 65972142684.

48624127956 is a `hidden beast` number, since 4 + 8 + 624 + 1 + 2 + 7 + 9 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (48624127949) and next prime (48624127963).

It can be written as a sum of positive squares in only one way, i.e., 30253036356 + 18371091600 = 173934^2 + 135540^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8334555 + ... + 8340386.

It is an arithmetic number, because the mean of its divisors is an integer number (3037618601).

Almost surely, 248624127956 is an apocalyptic number.

It is an amenable number.

48624127956 is an abundant number, since it is smaller than the sum of its proper divisors (78955853286).

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

48624127956 is a wasteful number, since it uses less digits than its factorization.

48624127956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16674963 (or 16674946 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 48624127956 in words is "forty-eight billion, six hundred twenty-four million, one hundred twenty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 16674941 33349882 50024823 66699764 100049646 150074469 200099292 300148938 450223407 600297876 900446814 1350670221 1800893628 2701340442 4052010663 5402680884 8104021326 12156031989 16208042652 24312063978 48624127956