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48025952 = 2513176791
BaseRepresentation
bin1011011100110…
…1000101100000
310100100222012222
42313031011200
544243312302
64433210212
71122133232
oct267150540
9110328188
1048025952
1125122677
1214100968
139c46a30
146542252
154339da2
hex2dcd160

48025952 has 48 divisors (see below), whose sum is σ = 107829792. Its totient is φ = 20858880.

The previous prime is 48025951. The next prime is 48025973. The reversal of 48025952 is 25952084.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48025951) 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, 3677 + ... + 10467.

It is an arithmetic number, because the mean of its divisors is an integer number (2246454).

Almost surely, 248025952 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 48025952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53914896).

48025952 is an abundant number, since it is smaller than the sum of its proper divisors (59803840).

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

48025952 is a wasteful number, since it uses less digits than its factorization.

48025952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6831 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 48025952 is about 6930.0759014602. The cubic root of 48025952 is about 363.4896038682.

The spelling of 48025952 in words is "forty-eight million, twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 6791 7072 13582 27164 54328 88283 108656 115447 176566 217312 230894 353132 461788 706264 923576 1412528 1500811 1847152 2825056 3001622 3694304 6003244 12006488 24012976 48025952