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48007904 = 2571072003
BaseRepresentation
bin1011011100100…
…0101011100000
310100100001110112
42313020223200
544242223104
64432550452
71122026510
oct267105340
9110301415
1048007904
112511005a
12140b2428
139c3b759
146539840
15433486e
hex2dc8ae0

48007904 has 48 divisors (see below), whose sum is σ = 109081728. Its totient is φ = 20372352.

The previous prime is 48007903. The next prime is 48007913. The reversal of 48007904 is 40970084.

It is a happy number.

It is a super-3 number, since 3×480079043 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48007903) 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, 22967 + ... + 24969.

It is an arithmetic number, because the mean of its divisors is an integer number (2272536).

Almost surely, 248007904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54540864).

48007904 is an abundant number, since it is smaller than the sum of its proper divisors (61073824).

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

48007904 is a wasteful number, since it uses less digits than its factorization.

48007904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 48007904 is about 6928.7736288610. The cubic root of 48007904 is about 363.4440654177. Note that the first 3 decimals are identical.

Adding to 48007904 its reverse (40970084), we get a palindrome (88977988).

The spelling of 48007904 in words is "forty-eight million, seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2003 2996 3424 4006 5992 8012 11984 14021 16024 23968 28042 32048 56084 64096 112168 214321 224336 428642 448672 857284 1500247 1714568 3000494 3429136 6000988 6858272 12001976 24003952 48007904