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48271680 = 2633537151
BaseRepresentation
bin1011100000100…
…1000101000000
310100211110022000
42320021011000
544324143210
64442344000
71124205522
oct270110500
9110743260
1048271680
1125280256
12141bb000
13a001832
1465a7a12
154387ac0
hex2e09140

48271680 has 224 divisors, whose sum is σ = 176052480. Its totient is φ = 12441600.

The previous prime is 48271669. The next prime is 48271697. The reversal of 48271680 is 8617284.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319605 + ... + 319755.

Almost surely, 248271680 is an apocalyptic number.

48271680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88026240).

48271680 is an abundant number, since it is smaller than the sum of its proper divisors (127780800).

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

48271680 is a wasteful number, since it uses less digits than its factorization.

48271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48271680 is about 6947.7823800116. The cubic root of 48271680 is about 364.1084891770.

The spelling of 48271680 in words is "forty-eight million, two hundred seventy-one thousand, six hundred eighty".