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4961088 = 26351129
BaseRepresentation
bin10010111011001101000000
3100100001100000
4102323031000
52232223323
6254200000
760111546
oct22731500
910301300
104961088
112889380
1217b3000
131049172
14931d96
1567ee43
hex4bb340

4961088 has 168 divisors, whose sum is σ = 16642080. Its totient is φ = 1451520.

The previous prime is 4961087. The next prime is 4961107. The reversal of 4961088 is 8801694.

It is a happy number.

It is a super-2 number, since 2×49610882 = 49224788287488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171058 + ... + 171086.

It is an arithmetic number, because the mean of its divisors is an integer number (99060).

Almost surely, 24961088 is an apocalyptic number.

4961088 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 4961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321040).

4961088 is an abundant number, since it is smaller than the sum of its proper divisors (11680992).

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

4961088 is a wasteful number, since it uses less digits than its factorization.

4961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4961088 is about 2227.3499949492. The cubic root of 4961088 is about 170.5528483731.

Subtracting 4961088 from its reverse (8801694), we obtain a triangular number (3840606 = T2771).

The spelling of 4961088 in words is "four million, nine hundred sixty-one thousand, eighty-eight".