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4801640328 = 23321928112491
BaseRepresentation
bin1000111100011001…
…10011011110001000
3110101122010121020200
410132030303132020
534313204442303
62112243452200
7226663161252
oct43614633610
913348117220
104801640328
1120444454a1
12b20087060
135b6a2a0c4
143379c8cd2
151d18233a3
hex11e333788

4801640328 has 96 divisors (see below), whose sum is σ = 13738701600. Its totient is φ = 1510790400.

The previous prime is 4801640227. The next prime is 4801640329. The reversal of 4801640328 is 8230461084.

4801640328 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 640 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4801640292 and 4801640301.

It is not an unprimeable number, because it can be changed into a prime (4801640329) 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, 378163 + ... + 390653.

It is an arithmetic number, because the mean of its divisors is an integer number (143111475).

Almost surely, 24801640328 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 4801640328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869350800).

4801640328 is an abundant number, since it is smaller than the sum of its proper divisors (8937061272).

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

4801640328 is a wasteful number, since it uses less digits than its factorization.

4801640328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4801640328 is about 69293.8693392136. The cubic root of 4801640328 is about 1687.0574623604.

The spelling of 4801640328 in words is "four billion, eight hundred one million, six hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 281 342 456 562 684 843 1124 1368 1686 2248 2529 3372 5058 5339 6744 10116 10678 12491 16017 20232 21356 24982 32034 37473 42712 48051 49964 64068 74946 96102 99928 112419 128136 149892 192204 224838 237329 299784 384408 449676 474658 711987 899352 949316 1423974 1898632 2135961 2847948 3509971 4271922 5695896 7019942 8543844 10529913 14039884 17087688 21059826 28079768 31589739 42119652 63179478 66689449 84239304 126358956 133378898 200068347 252717912 266757796 400136694 533515592 600205041 800273388 1200410082 1600546776 2400820164 4801640328