Search a number
-
+
4279445742 = 23111343193601
BaseRepresentation
bin1111111100010011…
…0010100011101110
3102001020112100221110
43333010302203232
532231014230432
61544351212450
7211022455125
oct37704624356
912036470843
104279445742
1118a66a9a20
129b5217126
135327a3a20
142c84d6abc
151a0a73dcc
hexff1328ee

4279445742 has 128 divisors (see below), whose sum is σ = 10359562752. Its totient is φ = 1161216000.

The previous prime is 4279445741. The next prime is 4279445759. The reversal of 4279445742 is 2475449724.

It is a junction number, because it is equal to n+sod(n) for n = 4279445691 and 4279445700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4279445741) 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 63 ways as a sum of consecutive naturals, for example, 7120242 + ... + 7120842.

It is an arithmetic number, because the mean of its divisors is an integer number (80934084).

Almost surely, 24279445742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4279445742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179781376).

4279445742 is an abundant number, since it is smaller than the sum of its proper divisors (6080117010).

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

4279445742 is a wasteful number, since it uses less digits than its factorization.

4279445742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866.

The product of its digits is 2257920, while the sum is 48.

The square root of 4279445742 is about 65417.4727576662. The cubic root of 4279445742 is about 1623.5381873299.

The spelling of 4279445742 in words is "four billion, two hundred seventy-nine million, four hundred forty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 43 66 78 86 129 143 193 258 286 386 429 473 559 579 601 858 946 1118 1158 1202 1419 1677 1803 2123 2509 2838 3354 3606 4246 5018 6149 6369 6611 7527 7813 8299 12298 12738 13222 15054 15626 16598 18447 19833 23439 24897 25843 27599 36894 39666 46878 49794 51686 55198 77529 82797 85943 91289 107887 115993 155058 165594 171886 182578 215774 231986 257829 273867 284273 323661 335959 347979 515658 547734 568546 647322 671918 695958 852819 1007877 1186757 1275923 1507909 1705638 2015754 2373514 2551846 3015818 3560271 3695549 3827769 4523727 4987699 7120542 7391098 7655538 9047454 9975398 11086647 14963097 16586999 22173294 29926194 33173998 49760997 54864689 64840087 99521994 109729378 129680174 164594067 194520261 329188134 389040522 713240957 1426481914 2139722871 4279445742