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4012575700 = 2252724119973
BaseRepresentation
bin1110111100101011…
…0000101111010100
3101100122100222001211
43233022300233110
531204204410300
61502055231204
7201302221300
oct35712605724
911318328054
104012575700
111779aa3571
1293b978504
134bc405763
142a0ca8d00
1518740b4ba
hexef2b0bd4

4012575700 has 108 divisors (see below), whose sum is σ = 10376453052. Its totient is φ = 1342118400.

The previous prime is 4012575641. The next prime is 4012575701. The reversal of 4012575700 is 75752104.

It can be written as a sum of positive squares in 6 ways, for example, as 873438916 + 3139136784 = 29554^2 + 56028^2 .

It is a super-2 number, since 2×40125757002 = 32201527496460980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012575701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190914 + ... + 210886.

It is an arithmetic number, because the mean of its divisors is an integer number (96078269).

Almost surely, 24012575700 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 4012575700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188226526).

4012575700 is an abundant number, since it is smaller than the sum of its proper divisors (6363877352).

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

4012575700 is a wasteful number, since it uses less digits than its factorization.

4012575700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20042 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 4012575700 is about 63344.8948219192. The cubic root of 4012575700 is about 1589.0628682585.

The spelling of 4012575700 in words is "four billion, twelve million, five hundred seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 49 50 70 82 98 100 140 164 175 196 205 245 287 350 410 490 574 700 820 980 1025 1148 1225 1435 2009 2050 2450 2870 4018 4100 4900 5740 7175 8036 10045 14350 19973 20090 28700 39946 40180 50225 79892 99865 100450 139811 199730 200900 279622 399460 499325 559244 699055 818893 978677 998650 1398110 1637786 1957354 1997300 2796220 3275572 3495275 3914708 4094465 4893385 5732251 6990550 8188930 9786770 11464502 13981100 16377860 19573540 20472325 22929004 24466925 28661255 40125757 40944650 48933850 57322510 80251514 81889300 97867700 114645020 143306275 160503028 200628785 286612550 401257570 573225100 802515140 1003143925 2006287850 4012575700