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4187240226 = 23213292232767
BaseRepresentation
bin1111100110010100…
…0011011100100010
3101210211000211202100
43321211003130202
532033413141401
61531255031230
7205522645311
oct37145033442
911724024670
104187240226
111859651614
1298a36b516
1351965bc50
142ba174278
1519790db86
hexf9943722

4187240226 has 96 divisors (see below), whose sum is σ = 10156124160. Its totient is φ = 1237928832.

The previous prime is 4187240219. The next prime is 4187240231. The reversal of 4187240226 is 6220427814.

4187240226 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 1511895 + ... + 1514661.

It is an arithmetic number, because the mean of its divisors is an integer number (105792960).

Almost surely, 24187240226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187240226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078062080).

4187240226 is an abundant number, since it is smaller than the sum of its proper divisors (5968883934).

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

4187240226 is a wasteful number, since it uses less digits than its factorization.

4187240226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4187240226 is about 64708.8883075579. Note that the first 3 decimals coincide. The cubic root of 4187240226 is about 1611.7931009305.

The spelling of 4187240226 in words is "four billion, one hundred eighty-seven million, two hundred forty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 223 234 261 377 446 522 669 754 1131 1338 2007 2262 2767 2899 3393 4014 5534 5798 6467 6786 8301 8697 12934 16602 17394 19401 24903 26091 35971 38802 49806 52182 58203 71942 80243 84071 107913 116406 160486 168142 215826 240729 252213 323739 481458 504426 617041 647478 722187 756639 1043159 1234082 1444374 1513278 1851123 2086318 3129477 3702246 5553369 6258954 8021533 9388431 11106738 16043066 17894189 18776862 24064599 35788378 48129198 53682567 72193797 107365134 144387594 161047701 232624457 322095402 465248914 697873371 1395746742 2093620113 4187240226