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4190087538 = 2327138832897
BaseRepresentation
bin1111100110111111…
…1010100101110010
3101211000101111112100
43321233322211302
532040130300123
61531440041230
7205556104440
oct37157724562
911730344470
104190087538
11186021686a
1298b303216
1351a117c50
142ba6b5b90
15197cc2643
hexf9bfa972

4190087538 has 96 divisors (see below), whose sum is σ = 11190082176. Its totient is φ = 1103445504.

The previous prime is 4190087471. The next prime is 4190087543. The reversal of 4190087538 is 8357800914.

It is a super-2 number, since 2×41900875382 = 35113667152205802888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4190087493 and 4190087502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444906 + ... + 1447802.

It is an arithmetic number, because the mean of its divisors is an integer number (116563356).

Almost surely, 24190087538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4190087538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595041088).

4190087538 is an abundant number, since it is smaller than the sum of its proper divisors (6999994638).

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

4190087538 is a wasteful number, since it uses less digits than its factorization.

4190087538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4190087538 is about 64730.8855029807. The cubic root of 4190087538 is about 1612.1583564648.

The spelling of 4190087538 in words is "four billion, one hundred ninety million, eighty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 883 1638 1766 2649 2897 5298 5794 6181 7947 8691 11479 12362 15894 17382 18543 20279 22958 26073 34437 37086 37661 40558 52146 55629 60837 68874 75322 80353 103311 111258 112983 121674 160706 182511 206622 225966 241059 263627 338949 365022 482118 527254 677898 723177 790881 1446354 1581762 2372643 2558051 4745286 5116102 7674153 15348306 17906357 23022459 33254663 35812714 46044918 53719071 66509326 99763989 107438142 161157213 199527978 232782641 299291967 322314426 465565282 598583934 698347923 1396695846 2095043769 4190087538