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4680087752 = 23194672
BaseRepresentation
bin1000101101111010…
…00111100011001000
3110002011102002110102
410112331013203020
534041100302002
62052222304532
7223656042464
oct42675074310
913064362412
104680087752
111a9187321a
12aa7428148
135977ab5c2
143257c74a4
151c5d12a02
hex116f478c8

4680087752 has 60 divisors (see below), whose sum is σ = 9402982155. Its totient is φ = 2183795856.

The previous prime is 4680087751. The next prime is 4680087799. The reversal of 4680087752 is 2577800864.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2340043876 + 2340043876 = 48374^2 + 48374^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=48374.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4680087697 and 4680087706.

It is not an unprimeable number, because it can be changed into a prime (4680087751) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 69852023 + ... + 69852089.

Almost surely, 24680087752 is an apocalyptic number.

It is an amenable number.

4680087752 is an abundant number, since it is smaller than the sum of its proper divisors (4722894403).

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

4680087752 is an frugal number, since it uses more digits than its factorization.

4680087752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 4680087752 is about 68411.1668662361. The cubic root of 4680087752 is about 1672.6997759550.

The spelling of 4680087752 in words is "four billion, six hundred eighty million, eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 19 38 67 76 134 152 268 361 536 722 1273 1444 2546 2888 4489 5092 6859 8978 10184 13718 17956 24187 27436 35912 48374 54872 85291 96748 130321 170582 193496 260642 341164 459553 521284 682328 919106 1042568 1620529 1838212 3241058 3676424 6482116 8731507 12964232 17463014 30790051 34926028 61580102 69852056 123160204 246320408 585010969 1170021938 2340043876 4680087752