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2948088 = 2331113859
BaseRepresentation
bin1011001111101111111000
312112210000110
423033233320
51223314323
6143104320
734026003
oct13175770
95483013
102948088
111733a40
12ba20a0
137c2b40
1456a53a
153d3793
hex2cfbf8

2948088 has 64 divisors (see below), whose sum is σ = 8668800. Its totient is φ = 823680.

The previous prime is 2948087. The next prime is 2948119. The reversal of 2948088 is 8808492.

It is a happy number.

It is a Cunningham number, because it is equal to 17172-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003 + ... + 3861.

It is an arithmetic number, because the mean of its divisors is an integer number (135450).

22948088 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 2948088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334400).

2948088 is an abundant number, since it is smaller than the sum of its proper divisors (5720712).

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

2948088 is a wasteful number, since it uses less digits than its factorization.

2948088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2948088 is about 1716.9997087944. Note that the first 3 decimals coincide. The cubic root of 2948088 is about 143.3882224726.

The spelling of 2948088 in words is "two million, nine hundred forty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 859 1144 1716 1718 2577 3432 3436 5154 6872 9449 10308 11167 18898 20616 22334 28347 33501 37796 44668 56694 67002 75592 89336 113388 122837 134004 226776 245674 268008 368511 491348 737022 982696 1474044 2948088