Search a number
-
+
4744234000 = 245311892423
BaseRepresentation
bin1000110101100011…
…10100010000010000
3110020122010001120101
410122301310100100
534204010442000
62102433222144
7225365216002
oct43261642020
913218101511
104744234000
112014aa6250
12b04a01954
135a7b7a86c
14330124372
151cb783e6a
hex11ac74410

4744234000 has 160 divisors (see below), whose sum is σ = 12660261120. Its totient is φ = 1705088000.

The previous prime is 4744233983. The next prime is 4744234031. The reversal of 4744234000 is 4324474.

It is a self number, because there is not a number n which added to its sum of digits gives 4744234000.

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, 1956789 + ... + 1959211.

It is an arithmetic number, because the mean of its divisors is an integer number (79126632).

Almost surely, 24744234000 is an apocalyptic number.

4744234000 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 4744234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330130560).

4744234000 is an abundant number, since it is smaller than the sum of its proper divisors (7916027120).

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

4744234000 is a wasteful number, since it uses less digits than its factorization.

4744234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 4744234000 is about 68878.4000975632. The cubic root of 4744234000 is about 1680.3072472825.

Adding to 4744234000 its reverse (4324474), we get a palindrome (4748558474).

The spelling of 4744234000 in words is "four billion, seven hundred forty-four million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 89 100 110 125 176 178 200 220 250 275 356 400 440 445 500 550 712 880 890 979 1000 1100 1375 1424 1780 1958 2000 2200 2225 2423 2750 3560 3916 4400 4450 4846 4895 5500 7120 7832 8900 9692 9790 11000 11125 12115 15664 17800 19384 19580 22000 22250 24230 24475 26653 35600 38768 39160 44500 48460 48950 53306 60575 78320 89000 96920 97900 106612 121150 122375 133265 178000 193840 195800 213224 215647 242300 244750 266530 302875 391600 426448 431294 484600 489500 533060 605750 666325 862588 969200 979000 1066120 1078235 1211500 1332650 1725176 1958000 2132240 2156470 2372117 2423000 2665300 3331625 3450352 4312940 4744234 4846000 5330600 5391175 6663250 8625880 9488468 10661200 10782350 11860585 13326500 17251760 18976936 21564700 23721170 26653000 26955875 37953872 43129400 47442340 53306000 53911750 59302925 86258800 94884680 107823500 118605850 189769360 215647000 237211700 296514625 431294000 474423400 593029250 948846800 1186058500 2372117000 4744234000