Search a number
-
+
450741294 = 23319677983
BaseRepresentation
bin11010110111011…
…100010000101110
31011102011000211000
4122313130100232
51410342210134
6112420541130
714112144363
oct3267342056
91142130730
10450741294
11211482673
12106b517a6
13724c9233
1443c1246a
1529887e99
hex1addc42e

450741294 has 128 divisors (see below), whose sum is σ = 1096704000. Its totient is φ = 136772064.

The previous prime is 450741283. The next prime is 450741307. The reversal of 450741294 is 492147054.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5430577 + ... + 5430659.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2450741294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450741294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352000).

450741294 is an abundant number, since it is smaller than the sum of its proper divisors (645962706).

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

450741294 is a wasteful number, since it uses less digits than its factorization.

450741294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 450741294 is about 21230.6687129727. The cubic root of 450741294 is about 766.7299871666.

The spelling of 450741294 in words is "four hundred fifty million, seven hundred forty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 67 79 83 114 134 158 166 171 201 237 249 342 402 474 498 513 603 711 747 1026 1206 1273 1422 1494 1501 1577 1809 2133 2241 2546 3002 3154 3618 3819 4266 4482 4503 4731 5293 5561 6557 7638 9006 9462 10586 11122 11457 13114 13509 14193 15879 16683 19671 22914 27018 28386 31758 33366 34371 39342 40527 42579 47637 50049 59013 68742 81054 85158 95274 100098 100567 105659 118026 124583 142911 150147 177039 201134 211318 249166 285822 300294 301701 316977 354078 373749 439319 603402 633954 747498 878638 905103 950931 1121247 1317957 1810206 1901862 2242494 2635914 2715309 2852793 3363741 3953871 5430618 5705586 6727482 7907742 8347061 11861613 16694122 23723226 25041183 50082366 75123549 150247098 225370647 450741294