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4009295290 = 2571113419769
BaseRepresentation
bin1110111011111000…
…1111110110111010
3101100102012022012011
43232332033312322
531202334422130
61501501040134
7201232306360
oct35676176672
911312168164
104009295290
111778162990
1293a85604a
134bb8275a0
142a0693630
15186eae52a
hexeef8fdba

4009295290 has 128 divisors (see below), whose sum is σ = 9926945280. Its totient is φ = 1125273600.

The previous prime is 4009295239. The next prime is 4009295299. The reversal of 4009295290 is 925929004.

It is not an unprimeable number, because it can be changed into a prime (4009295299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405526 + ... + 415294.

It is an arithmetic number, because the mean of its divisors is an integer number (77554260).

Almost surely, 24009295290 is an apocalyptic number.

4009295290 is an abundant number, since it is smaller than the sum of its proper divisors (5917649990).

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

4009295290 is a wasteful number, since it uses less digits than its factorization.

4009295290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 4009295290 is about 63318.9962807371. The cubic root of 4009295290 is about 1588.6297134890.

The spelling of 4009295290 in words is "four billion, nine million, two hundred ninety-five thousand, two hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 41 55 65 70 77 82 91 110 130 143 154 182 205 286 287 385 410 451 455 533 574 715 770 902 910 1001 1066 1430 1435 2002 2255 2665 2870 3157 3731 4510 5005 5330 5863 6314 7462 9769 10010 11726 15785 18655 19538 29315 31570 37310 41041 48845 58630 68383 82082 97690 107459 126997 136766 205205 214918 253994 341915 400529 410410 537295 634985 683830 752213 801058 888979 1074590 1269970 1396967 1504426 1777958 2002645 2793934 2803703 3761065 4005290 4405819 4444895 5206877 5607406 6984835 7522130 8811638 8889790 9778769 10413754 13969670 14018515 19557538 22029095 26034385 28037030 30840733 36448139 44058190 48893845 52068770 57275647 61681466 72896278 97787690 114551294 154203665 182240695 286378235 308407330 364481390 400929529 572756470 801859058 2004647645 4009295290