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4192933140 = 2233511264171
BaseRepresentation
bin1111100111101011…
…0001010100010100
3101211012202001222000
43321322301110110
532041342330030
61532021035300
7205622225604
oct37172612424
911735661860
104192933140
11186188a800
12990255b30
1351a8a3236
142bac16c04
15198185860
hexf9eb1514

4192933140 has 144 divisors (see below), whose sum is σ = 14338591680. Its totient is φ = 1016452800.

The previous prime is 4192933133. The next prime is 4192933141. The reversal of 4192933140 is 413392914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4192933095 and 4192933104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192933141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33255 + ... + 97425.

Almost surely, 24192933140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4192933140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169295840).

4192933140 is an abundant number, since it is smaller than the sum of its proper divisors (10145658540).

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

4192933140 is a wasteful number, since it uses less digits than its factorization.

4192933140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64211 (or 64192 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4192933140 is about 64752.8620216898. The cubic root of 4192933140 is about 1612.5232273561.

The spelling of 4192933140 in words is "four billion, one hundred ninety-two million, nine hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 21780 32670 64171 65340 128342 192513 256684 320855 385026 577539 641710 705881 770052 962565 1155078 1283420 1411762 1732617 1925130 2117643 2310156 2823524 2887695 3465234 3529405 3850260 4235286 5775390 6352929 6930468 7058810 7764691 8470572 8663085 10588215 11550780 12705858 14117620 15529382 17326170 19058787 21176430 23294073 25411716 31058764 31764645 34652340 38117574 38823455 42352860 46588146 63529290 69882219 76235148 77646910 93176292 95293935 116470365 127058580 139764438 155293820 190587870 209646657 232940730 279528876 349411095 381175740 419293314 465881460 698822190 838586628 1048233285 1397644380 2096466570 4192933140