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4428693240 = 2335232955331
BaseRepresentation
bin1000001111111100…
…00111111011111000
3102102122100221000120
410013332013323320
533032221140430
62011242133240
7214514162046
oct40776077370
912378327016
104428693240
111972977864
12a371b1220
1355769b25a
14300267396
151adc05610
hex107f87ef8

4428693240 has 128 divisors (see below), whose sum is σ = 14342054400. Its totient is φ = 1090664960.

The previous prime is 4428693193. The next prime is 4428693271. The reversal of 4428693240 is 423968244.

It is a super-3 number, since 3×44286932403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4428693192 and 4428693201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52375 + ... + 107705.

It is an arithmetic number, because the mean of its divisors is an integer number (112047300).

Almost surely, 24428693240 is an apocalyptic number.

4428693240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4428693240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171027200).

4428693240 is an abundant number, since it is smaller than the sum of its proper divisors (9913361160).

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

4428693240 is a wasteful number, since it uses less digits than its factorization.

4428693240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55397 (or 55393 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4428693240 is about 66548.4277800761. The cubic root of 4428693240 is about 1642.1967933232.

The spelling of 4428693240 in words is "four billion, four hundred twenty-eight million, six hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 2001 2668 2760 3335 3480 4002 5336 6670 8004 10005 13340 16008 20010 26680 40020 55331 80040 110662 165993 221324 276655 331986 442648 553310 663972 829965 1106620 1272613 1327944 1604599 1659930 2213240 2545226 3209198 3319860 3817839 4813797 5090452 6363065 6418396 6639720 7635678 8022995 9627594 10180904 12726130 12836792 15271356 16045990 19089195 19255188 24068985 25452260 30542712 32091980 36905777 38178390 38510376 48137970 50904520 64183960 73811554 76356780 96275940 110717331 147623108 152713560 184528885 192551880 221434662 295246216 369057770 442869324 553586655 738115540 885738648 1107173310 1476231080 2214346620 4428693240