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128849224 = 2372418017
BaseRepresentation
bin1111010111000…
…01010101001000
322222110012220111
413223201111020
5230441133344
620441404104
73123125500
oct753412510
9288405814
10128849224
1166806369
1237199634
1320904a5a
1413180a00
15b4a2834
hex7ae1548

128849224 has 48 divisors (see below), whose sum is σ = 287926380. Its totient is φ = 53867520.

The previous prime is 128849219. The next prime is 128849251. The reversal of 128849224 is 422948821.

It can be written as a sum of positive squares in 2 ways, for example, as 121396324 + 7452900 = 11018^2 + 2730^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12064 + ... + 20080.

Almost surely, 2128849224 is an apocalyptic number.

128849224 is a gapful number since it is divisible by the number (14) 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 128849224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963190).

128849224 is an abundant number, since it is smaller than the sum of its proper divisors (159077156).

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

128849224 is a wasteful number, since it uses less digits than its factorization.

128849224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8067 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 128849224 is about 11351.1772076732. The cubic root of 128849224 is about 505.0805008420.

The spelling of 128849224 in words is "one hundred twenty-eight million, eight hundred forty-nine thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8017 8036 16034 16072 32068 56119 64136 112238 224476 328697 392833 448952 657394 785666 1314788 1571332 2300879 2629576 3142664 4601758 9203516 16106153 18407032 32212306 64424612 128849224