Search a number
-
+
48319291384 = 2371366372653
BaseRepresentation
bin101101000000000011…
…011101111111111000
311121201110021022211121
4231000003131333320
51242424214311014
634110402035024
73330253125430
oct550003357770
9147643238747
1048319291384
1119545a86871
129446048a74
1347307b91a0
1424a542b2c0
1513cc052124
hexb400ddff8

48319291384 has 32 divisors (see below), whose sum is σ = 111506058720. Its totient is φ = 19115323776.

The previous prime is 48319291337. The next prime is 48319291409.

48319291384 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×483192913843 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 7 ways as a sum of consecutive naturals, for example, 33185599 + ... + 33187054.

It is an arithmetic number, because the mean of its divisors is an integer number (3484564335).

Almost surely, 248319291384 is an apocalyptic number.

It is an amenable number.

48319291384 is an abundant number, since it is smaller than the sum of its proper divisors (63186767336).

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

48319291384 is a wasteful number, since it uses less digits than its factorization.

48319291384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66372679 (or 66372675 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 48319291384 in words is "forty-eight billion, three hundred nineteen million, two hundred ninety-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 66372653 132745306 265490612 464608571 530981224 862844489 929217142 1725688978 1858434284 3451377956 3716868568 6039911423 6902755912 12079822846 24159645692 48319291384