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48008007 = 3241281463
BaseRepresentation
bin1011011100100…
…0101101000111
310100100001121100
42313020231013
544242224012
64432551143
71122030015
oct267105507
9110301540
1048008007
1125110143
12140b24b3
139c3b808
1465398b5
1543348dc
hex2dc8b47

48008007 has 24 divisors (see below), whose sum is σ = 71443008. Its totient is φ = 31046400.

The previous prime is 48007997. The next prime is 48008039. The reversal of 48008007 is 70080084.

It is a happy number.

It is not a de Polignac number, because 48008007 - 26 = 48007943 is a prime.

It is a super-2 number, since 2×480080072 = 4609537472224098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48008707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103458 + ... + 103920.

It is an arithmetic number, because the mean of its divisors is an integer number (2976792).

Almost surely, 248008007 is an apocalyptic number.

48008007 is a deficient number, since it is larger than the sum of its proper divisors (23435001).

48008007 is a wasteful number, since it uses less digits than its factorization.

48008007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 48008007 is about 6928.7810616298. The cubic root of 48008007 is about 363.4443253381. Note that the first 3 decimals are identical.

The spelling of 48008007 in words is "forty-eight million, eight thousand, seven".

Divisors: 1 3 9 41 123 281 369 463 843 1389 2529 4167 11521 18983 34563 56949 103689 130103 170847 390309 1170927 5334223 16002669 48008007