Search a number
-
+
4640892840 = 2333510194217
BaseRepresentation
bin1000101001001111…
…00110011110101000
3102222102122210011000
410110213212132220
534001032032330
62044302235000
7223001636553
oct42447463650
912872583130
104640892840
111a71732531
12a96285a60
1358c63734c
1432050369a
151c266e560
hex1149e67a8

4640892840 has 128 divisors (see below), whose sum is σ = 15488496000. Its totient is φ = 1236063744.

The previous prime is 4640892821. The next prime is 4640892877. The reversal of 4640892840 is 482980464.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1098412 + ... + 1102628.

It is an arithmetic number, because the mean of its divisors is an integer number (121003875).

Almost surely, 24640892840 is an apocalyptic number.

4640892840 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 4640892840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744248000).

4640892840 is an abundant number, since it is smaller than the sum of its proper divisors (10847603160).

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

4640892840 is a wasteful number, since it uses less digits than its factorization.

4640892840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4640892840 is about 68124.0988197275. The cubic root of 4640892840 is about 1668.0171573205.

The spelling of 4640892840 in words is "four billion, six hundred forty million, eight hundred ninety-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1019 1080 2038 3057 4076 4217 5095 6114 8152 8434 9171 10190 12228 12651 15285 16868 18342 20380 21085 24456 25302 27513 30570 33736 36684 37953 40760 42170 45855 50604 55026 61140 63255 73368 75906 84340 91710 101208 110052 113859 122280 126510 137565 151812 168680 183420 189765 220104 227718 253020 275130 303624 366840 379530 455436 506040 550260 569295 759060 910872 1100520 1138590 1518120 2277180 4297123 4554360 8594246 12891369 17188492 21485615 25782738 34376984 38674107 42971230 51565476 64456845 77348214 85942460 103130952 116022321 128913690 154696428 171884920 193370535 232044642 257827380 309392856 386741070 464089284 515654760 580111605 773482140 928178568 1160223210 1546964280 2320446420 4640892840