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48692448 = 253378397
BaseRepresentation
bin1011100110111…
…1110011100000
310101121211111000
42321233303200
544431124243
64455352000
71130610330
oct271576340
9111554430
1048692448
11255383a2
1214382600
13a11b1cc
1466770c0
15441c5d3
hex2e6fce0

48692448 has 192 divisors, whose sum is σ = 165957120. Its totient is φ = 13602816.

The previous prime is 48692443. The next prime is 48692509. The reversal of 48692448 is 84429684.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (442368) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48692443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501936 + ... + 502032.

It is an arithmetic number, because the mean of its divisors is an integer number (864360).

Almost surely, 248692448 is an apocalyptic number.

48692448 is a gapful number since it is divisible by the number (48) 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 48692448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978560).

48692448 is an abundant number, since it is smaller than the sum of its proper divisors (117264672).

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

48692448 is a wasteful number, since it uses less digits than its factorization.

48692448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48692448 is about 6977.9974204638. The cubic root of 48692448 is about 365.1633671642.

The spelling of 48692448 in words is "forty-eight million, six hundred ninety-two thousand, four hundred forty-eight".