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48252672 = 283413179
BaseRepresentation
bin1011100000010…
…0011100000000
310100210111020000
42320010130000
544323041142
64442120000
71124066226
oct270043400
9110714200
1048252672
1125267a46
12141b0000
139cc5ca0
1465a0b16
15438214c
hex2e04700

48252672 has 180 divisors, whose sum is σ = 155814120. Its totient is φ = 14764032.

The previous prime is 48252667. The next prime is 48252679. The reversal of 48252672 is 27625284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48252679) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269479 + ... + 269657.

It is an arithmetic number, because the mean of its divisors is an integer number (865634).

Almost surely, 248252672 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 48252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77907060).

48252672 is an abundant number, since it is smaller than the sum of its proper divisors (107561448).

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

48252672 is a wasteful number, since it uses less digits than its factorization.

48252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 48252672 is about 6946.4143268308. The cubic root of 48252672 is about 364.0606910837.

The spelling of 48252672 in words is "forty-eight million, two hundred fifty-two thousand, six hundred seventy-two".