Search a number
-
+
4528804720 = 2451129434127
BaseRepresentation
bin1000011011111000…
…00001001101110000
3102200121202010011011
410031330001031300
533233333222340
62025220000304
7220141130206
oct41574011560
912617663134
104528804720
111a14435020
12a64830094
1357235070b
1430d687076
151b78cd0ea
hex10df01370

4528804720 has 160 divisors (see below), whose sum is σ = 12162078720. Its totient is φ = 1552696320.

The previous prime is 4528804711. The next prime is 4528804723. The reversal of 4528804720 is 274088254.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4528804723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095297 + ... + 1099423.

It is an arithmetic number, because the mean of its divisors is an integer number (76012992).

Almost surely, 24528804720 is an apocalyptic number.

4528804720 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 4528804720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081039360).

4528804720 is an abundant number, since it is smaller than the sum of its proper divisors (7633274000).

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

4528804720 is a wasteful number, since it uses less digits than its factorization.

4528804720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 4528804720 is about 67296.3945542404. The cubic root of 4528804720 is about 1654.4787678384.

The spelling of 4528804720 in words is "four billion, five hundred twenty-eight million, eight hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 43 44 55 58 80 86 88 110 116 145 172 176 215 220 232 290 319 344 430 440 464 473 580 638 688 860 880 946 1160 1247 1276 1595 1720 1892 2320 2365 2494 2552 3190 3440 3784 4127 4730 4988 5104 6235 6380 7568 8254 9460 9976 12470 12760 13717 16508 18920 19952 20635 24940 25520 27434 33016 37840 41270 45397 49880 54868 66032 68585 82540 90794 99760 109736 119683 137170 165080 177461 181588 219472 226985 239366 274340 330160 354922 363176 453970 478732 548680 598415 709844 726352 887305 907940 957464 1097360 1196830 1316513 1419688 1774610 1815880 1914928 1952071 2393660 2633026 2839376 3549220 3631760 3904142 4787320 5146369 5266052 6582565 7098440 7808284 9574640 9760355 10292738 10532104 13165130 14196880 15616568 19520710 20585476 21064208 25731845 26330260 31233136 39041420 41170952 51463690 52660520 56610059 78082840 82341904 102927380 105321040 113220118 156165680 205854760 226440236 283050295 411709520 452880472 566100590 905760944 1132201180 2264402360 4528804720