Search a number
-
+
42452007400 = 23521147410561
BaseRepresentation
bin100111100010010101…
…100011100111101000
311001120112221102022101
4213202111203213220
51143420203214100
631300245503144
73032000052265
oct474225434750
9131515842271
1042452007400
1117005062540
128289111ab4
13400707a20a
1420aa0c826c
151186dd286a
hex9e25639e8

42452007400 has 96 divisors (see below), whose sum is σ = 109964926080. Its totient is φ = 15108608000.

The previous prime is 42452007361. The next prime is 42452007407. The reversal of 42452007400 is 470025424.

It is a happy number.

42452007400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42452007407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101881 + ... + 308680.

It is an arithmetic number, because the mean of its divisors is an integer number (1145467980).

Almost surely, 242452007400 is an apocalyptic number.

42452007400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42452007400 is an abundant number, since it is smaller than the sum of its proper divisors (67512918680).

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

42452007400 is a wasteful number, since it uses less digits than its factorization.

42452007400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410635 (or 410626 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The spelling of 42452007400 in words is "forty-two billion, four hundred fifty-two million, seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 410561 821122 1642244 2052805 3284488 4105610 4516171 8211220 9032342 10264025 16422440 18064684 19296367 20528050 22580855 36129368 38592734 41056100 45161710 77185468 82112200 90323420 96481835 112904275 154370936 180646840 192963670 212260037 225808550 385927340 424520074 451617100 482409175 771854680 849040148 903234200 964818350 1061300185 1698080296 1929636700 2122600370 3859273400 4245200740 5306500925 8490401480 10613001850 21226003700 42452007400