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4881632 = 257193137
BaseRepresentation
bin10010100111110011100000
3100012000100012
4102213303200
52222203012
6252344052
756331110
oct22476340
910160305
104881632
112834708
121775028
13101bc52
14911040
15666622
hex4a7ce0

4881632 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 1866240.

The previous prime is 4881631. The next prime is 4881641. The reversal of 4881632 is 2361884.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (9216) is a multiple of the sum of its prime divisors (96).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131918 + ... + 131954.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 24881632 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 4881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

4881632 is an abundant number, since it is smaller than the sum of its proper divisors (7375648).

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

4881632 is a wasteful number, since it uses less digits than its factorization.

4881632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 4881632 is about 2209.4415584034. The cubic root of 4881632 is about 169.6374279566.

The spelling of 4881632 in words is "four million, eight hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 37 38 56 62 74 76 112 124 133 148 152 217 224 248 259 266 296 304 434 496 518 532 589 592 608 703 868 992 1036 1064 1147 1178 1184 1406 1736 2072 2128 2294 2356 2812 3472 4123 4144 4256 4588 4712 4921 5624 6944 8029 8246 8288 9176 9424 9842 11248 16058 16492 18352 18848 19684 21793 22496 32116 32984 36704 39368 43586 64232 65968 78736 87172 128464 131936 152551 157472 174344 256928 305102 348688 610204 697376 1220408 2440816 4881632