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4492403240 = 23513231013719
BaseRepresentation
bin1000010111100010…
…01010001000101000
3102121002020201201012
410023301022020220
533200023400430
62021435443052
7216216540353
oct41361121050
912532221635
104492403240
1119a5932056
12a545b6488
13567946a90
143088cd29a
151b45dc695
hex10bc4a228

4492403240 has 128 divisors (see below), whose sum is σ = 11474265600. Its totient is φ = 1570483200.

The previous prime is 4492403231. The next prime is 4492403261. The reversal of 4492403240 is 423042944.

It is a junction number, because it is equal to n+sod(n) for n = 4492403197 and 4492403206.

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, 1206101 + ... + 1209819.

It is an arithmetic number, because the mean of its divisors is an integer number (89642700).

Almost surely, 24492403240 is an apocalyptic number.

4492403240 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 4492403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737132800).

4492403240 is an abundant number, since it is smaller than the sum of its proper divisors (6981862360).

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

4492403240 is a wasteful number, since it uses less digits than its factorization.

4492403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4492403240 is about 67025.3925016482. The cubic root of 4492403240 is about 1650.0340660246.

The spelling of 4492403240 in words is "four billion, four hundred ninety-two million, four hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 101 104 115 130 184 202 230 260 299 404 460 505 520 598 808 920 1010 1196 1313 1495 2020 2323 2392 2626 2990 3719 4040 4646 5252 5980 6565 7438 9292 10504 11615 11960 13130 14876 18584 18595 23230 26260 29752 30199 37190 46460 48347 52520 60398 74380 85537 92920 96694 120796 148760 150995 171074 193388 241592 241735 301990 342148 375619 386776 427685 483470 603980 684296 751238 855370 966940 1111981 1207960 1502476 1710740 1878095 1933880 2223962 3004952 3421480 3756190 4447924 4883047 5559905 7512380 8639237 8895848 9766094 11119810 15024760 17278474 19532188 22239620 24415235 34556948 39064376 43196185 44479240 48830470 69113896 86392370 97660940 112310081 172784740 195321880 224620162 345569480 449240324 561550405 898480648 1123100810 2246201620 4492403240