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4189375242 = 234135413677
BaseRepresentation
bin1111100110110100…
…1100101100001010
3101210222001022110000
43321231030230022
532034440001432
61531412503430
7205550046663
oct37155145412
911728038400
104189375242
11185a87a698
1298b01ab76
13519c28980
142ba56c36a
15197bd157c
hexf9b4cb0a

4189375242 has 80 divisors (see below), whose sum is σ = 10130845032. Its totient is φ = 1286305920.

The previous prime is 4189375231. The next prime is 4189375261. The reversal of 4189375242 is 2425739814.

4189375242 is a `hidden beast` number, since 41 + 89 + 3 + 7 + 524 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3296022921 + 893352321 = 57411^2 + 29889^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1137508 + ... + 1141184.

Almost surely, 24189375242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4189375242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065422516).

4189375242 is an abundant number, since it is smaller than the sum of its proper divisors (5941469790).

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

4189375242 is a wasteful number, since it uses less digits than its factorization.

4189375242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4236 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4189375242 is about 64725.3832897110. The cubic root of 4189375242 is about 1612.0669980692.

The spelling of 4189375242 in words is "four billion, one hundred eighty-nine million, three hundred seventy-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 541 702 1053 1082 1623 2106 3246 3677 4869 7033 7354 9738 11031 14066 14607 21099 22062 29214 33093 42198 43821 47801 63297 66186 87642 95602 99279 126594 143403 189891 198558 286806 297837 379782 430209 569673 595674 860418 1139346 1290627 1989257 2581254 3871881 3978514 5967771 7743762 11935542 17903313 25860341 35806626 51720682 53709939 77581023 107419878 155162046 161129817 232743069 322259634 465486138 698229207 1396458414 2094687621 4189375242