Search a number
-
+
451281096 = 233274121839
BaseRepresentation
bin11010111001100…
…000000011001000
31011110011110021200
4122321200003020
51411011443341
6112440304200
714116553220
oct3271400310
91143143250
10451281096
11211811192
12107172060
1372657b46
1443d13080
1529942db6
hex1ae600c8

451281096 has 96 divisors (see below), whose sum is σ = 1430956800. Its totient is φ = 125786880.

The previous prime is 451281079. The next prime is 451281107. The reversal of 451281096 is 690182154.

It is a super-2 number, since 2×4512810962 = 407309255213922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 451281096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9745 + ... + 31583.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2451281096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451281096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715478400).

451281096 is an abundant number, since it is smaller than the sum of its proper divisors (979675704).

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

451281096 is a wasteful number, since it uses less digits than its factorization.

451281096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21899 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 451281096 is about 21243.3776975320. The cubic root of 451281096 is about 767.0359404010.

The spelling of 451281096 in words is "four hundred fifty-one million, two hundred eighty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 21839 43678 65517 87356 131034 152873 174712 196551 262068 305746 393102 458619 524136 611492 786204 895399 917238 1222984 1375857 1572408 1790798 1834476 2686197 2751714 3581596 3668952 5372394 5503428 6267793 7163192 8058591 10744788 11006856 12535586 16117182 18803379 21489576 25071172 32234364 37606758 50142344 56410137 64468728 75213516 112820274 150427032 225640548 451281096