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4748614080 = 2635717197211
BaseRepresentation
bin1000110110000101…
…00001100111000000
3110020221100120220120
410123002201213000
534211121122310
62103111140240
7225450360630
oct43302414700
913227316816
104748614080
112017518051
12b06374680
135a8a52422
143309446c0
151cbd4bb70
hex11b0a19c0

4748614080 has 448 divisors, whose sum is σ = 18423770112. Its totient is φ = 1011548160.

The previous prime is 4748614051. The next prime is 4748614093. The reversal of 4748614080 is 804168474.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22505175 + ... + 22505385.

Almost surely, 24748614080 is an apocalyptic number.

4748614080 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 4748614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9211885056).

4748614080 is an abundant number, since it is smaller than the sum of its proper divisors (13675156032).

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

4748614080 is a wasteful number, since it uses less digits than its factorization.

4748614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4748614080 is about 68910.1885064901. The cubic root of 4748614080 is about 1680.8241987611.

It can be divided in two parts, 4748 and 614080, that added together give a triangular number (618828 = T1112).

The spelling of 4748614080 in words is "four billion, seven hundred forty-eight million, six hundred fourteen thousand, eighty".