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4942080 = 283351113
BaseRepresentation
bin10010110110100100000000
3100022002021000
4102312210000
52231121310
6253532000
760002253
oct22664400
910262230
104942080
112876070
1217a4000
131040610
1492909a
156794c0
hex4b6900

4942080 has 288 divisors, whose sum is σ = 20603520. Its totient is φ = 1105920.

The previous prime is 4942073. The next prime is 4942111. The reversal of 4942080 is 802494.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

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, 380154 + ... + 380166.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

Almost surely, 24942080 is an apocalyptic number.

4942080 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 4942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760).

4942080 is an abundant number, since it is smaller than the sum of its proper divisors (15661440).

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

4942080 is a wasteful number, since it uses less digits than its factorization.

4942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4942080 is about 2223.0789459666. The cubic root of 4942080 is about 170.3347498637.

4942080 divided by its product of nonzero digits (2304) gives a triangular number (2145 = T65).

The spelling of 4942080 in words is "four million, nine hundred forty-two thousand, eighty".