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4135002858 = 234737139709
BaseRepresentation
bin1111011001110111…
…0010001011101010
3101200011201220120000
43312131302023222
531432030042413
61522151243430
7204316641630
oct36635621352
911604656500
104135002858
111832112938
12974979576
1350b89c36c
142b3257350
15193041073
hexf67722ea

4135002858 has 160 divisors (see below), whose sum is σ = 10968988800. Its totient is φ = 1139619456.

The previous prime is 4135002857. The next prime is 4135002863. The reversal of 4135002858 is 8582005314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4135002857) 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 79 ways as a sum of consecutive naturals, for example, 5831808 + ... + 5832516.

It is an arithmetic number, because the mean of its divisors is an integer number (68556180).

Almost surely, 24135002858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135002858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484494400).

4135002858 is an abundant number, since it is smaller than the sum of its proper divisors (6833985942).

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

4135002858 is a wasteful number, since it uses less digits than its factorization.

4135002858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4135002858 is about 64303.9878856669. The cubic root of 4135002858 is about 1605.0624624132.

The spelling of 4135002858 in words is "four billion, one hundred thirty-five million, two thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 139 162 189 222 259 278 333 378 417 518 567 666 709 777 834 973 999 1134 1251 1418 1554 1946 1998 2127 2331 2502 2919 2997 3753 4254 4662 4963 5143 5838 5994 6381 6993 7506 8757 9926 10286 11259 12762 13986 14889 15429 17514 19143 20979 22518 26233 26271 29778 30858 36001 38286 41958 44667 46287 52466 52542 57429 72002 78699 78813 89334 92574 98551 108003 114858 134001 138861 157398 157626 183631 197102 216006 236097 268002 277722 295653 324009 367262 402003 416583 472194 550893 591306 648018 689857 708291 804006 833166 886959 972027 1101786 1379714 1416582 1652679 1773918 1944054 2069571 2124873 2660877 2916081 3305358 3646387 4139142 4249746 4958037 5321754 5832162 6208713 7292774 7982631 9916074 10939161 12417426 14874111 15965262 18626139 21878322 25524709 29748222 32817483 37252278 51049418 55878417 65634966 76574127 98452449 111756834 153148254 196904898 229722381 295357347 459444762 590714694 689167143 1378334286 2067501429 4135002858