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48003246048 = 2533116130123
BaseRepresentation
bin101100101101001101…
…110110011111100000
311120220102120120010210
4230231031312133200
51241302312333143
634015152054120
73316364600442
oct545515663740
9146812516123
1048003246048
11193a364327a
129378234340
1346b0191004
14247547c492
1513ae424033
hexb2d3767e0

48003246048 has 48 divisors (see below), whose sum is σ = 130073319936. Its totient is φ = 15484917120.

The previous prime is 48003246041. The next prime is 48003246059. The reversal of 48003246048 is 84064230084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×480032460482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48003245997 and 48003246015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48003246041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8062086 + ... + 8068037.

It is an arithmetic number, because the mean of its divisors is an integer number (2709860832).

Almost surely, 248003246048 is an apocalyptic number.

48003246048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48003246048 is an abundant number, since it is smaller than the sum of its proper divisors (82070073888).

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

48003246048 is a wasteful number, since it uses less digits than its factorization.

48003246048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130167 (or 16130159 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 48003246048 in words is "forty-eight billion, three million, two hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 16130123 32260246 48390369 64520492 96780738 129040984 193561476 258081968 387122952 500033813 516163936 774245904 1000067626 1500101439 1548491808 2000135252 3000202878 4000270504 6000405756 8000541008 12000811512 16001082016 24001623024 48003246048