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4170052980 = 2232541575573
BaseRepresentation
bin1111100010001101…
…1111010101110100
3101202121200122021200
43320203133111310
532020013143410
61525442412500
7205223602602
oct37043372564
911677618250
104170052980
11184a982585
12984661130
13515c21b92
142b7b7c872
151961663c0
hexf88df574

4170052980 has 72 divisors (see below), whose sum is σ = 12654473832. Its totient is φ = 1111547136.

The previous prime is 4170052951. The next prime is 4170052981. The reversal of 4170052980 is 892500714.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 4169543184 = 714^2 + 64572^2 .

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 (4170052981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745474 + ... + 751046.

It is an arithmetic number, because the mean of its divisors is an integer number (175756581).

Almost surely, 24170052980 is an apocalyptic number.

It is an amenable number.

4170052980 is an abundant number, since it is smaller than the sum of its proper divisors (8484420852).

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

4170052980 is a wasteful number, since it uses less digits than its factorization.

4170052980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9745 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4170052980 is about 64575.9473798101. The cubic root of 4170052980 is about 1609.5847829115.

The spelling of 4170052980 in words is "four billion, one hundred seventy million, fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4157 5573 8314 11146 12471 16628 16719 20785 22292 24942 27865 33438 37413 41570 49884 50157 55730 62355 66876 74826 83140 83595 100314 111460 124710 149652 167190 187065 200628 249420 250785 334380 374130 501570 748260 1003140 23166961 46333922 69500883 92667844 115834805 139001766 208502649 231669610 278003532 347504415 417005298 463339220 695008830 834010596 1042513245 1390017660 2085026490 4170052980