Search a number
-
+
468461350 = 252717431831
BaseRepresentation
bin11011111011000…
…010011100100110
31012122111022011101
4123323002130212
51424411230400
6114252430314
714415566350
oct3373023446
91178438141
10468461350
11220485a45
12110a7839a
1376091986
14463060d0
152b1d856a
hex1bec2726

468461350 has 96 divisors (see below), whose sum is σ = 1079502336. Its totient is φ = 147571200.

The previous prime is 468461347. The next prime is 468461417. The reversal of 468461350 is 53164864.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254935 + ... + 256765.

It is an arithmetic number, because the mean of its divisors is an integer number (11244816).

Almost surely, 2468461350 is an apocalyptic number.

468461350 is an abundant number, since it is smaller than the sum of its proper divisors (611040986).

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

468461350 is a wasteful number, since it uses less digits than its factorization.

468461350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 468461350 is about 21643.9679818651. The cubic root of 468461350 is about 776.6486443860.

The spelling of 468461350 in words is "four hundred sixty-eight million, four hundred sixty-one thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 43 50 70 85 86 119 170 175 215 238 301 350 425 430 595 602 731 850 1075 1190 1462 1505 1831 2150 2975 3010 3655 3662 5117 5950 7310 7525 9155 10234 12817 15050 18275 18310 25585 25634 31127 36550 45775 51170 62254 64085 78733 91550 127925 128170 155635 157466 217889 255850 311270 320425 393665 435778 551131 640850 778175 787330 1089445 1102262 1338461 1556350 1968325 2178890 2676922 2755655 3936650 5447225 5511310 6692305 9369227 10894450 13384610 13778275 18738454 27556550 33461525 46846135 66923050 93692270 234230675 468461350