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451425312 = 25341313397
BaseRepresentation
bin11010111010000…
…011010000100000
31011110102210010000
4122322003100200
51411031102222
6112443340000
714121023532
oct3272032040
91143383100
10451425312
112118aa578
12107221600
13726a8690
1443d4d852
15299709ac
hex1ae83420

451425312 has 120 divisors (see below), whose sum is σ = 1429861356. Its totient is φ = 138889728.

The previous prime is 451425307. The next prime is 451425341. The reversal of 451425312 is 213524154.

It can be written as a sum of positive squares in 2 ways, for example, as 349091856 + 102333456 = 18684^2 + 10116^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 26998 + ... + 40394.

Almost surely, 2451425312 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 451425312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714930678).

451425312 is an abundant number, since it is smaller than the sum of its proper divisors (978436044).

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

451425312 is a wasteful number, since it uses less digits than its factorization.

451425312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432 (or 13415 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 451425312 is about 21246.7718018526. The cubic root of 451425312 is about 767.1176389807.

Adding to 451425312 its reverse (213524154), we get a palindrome (664949466).

The spelling of 451425312 in words is "four hundred fifty-one million, four hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 13397 16848 26794 33696 40191 53588 80382 107176 120573 160764 174161 214352 241146 321528 348322 361719 428704 482292 522483 643056 696644 723438 964584 1044966 1085157 1286112 1393288 1446876 1567449 1929168 2089932 2170314 2786576 2893752 3134898 3858336 4179864 4340628 4702347 5573152 5787504 6269796 8359728 8681256 9404694 11575008 12539592 14107041 16719456 17362512 18809388 25079184 28214082 34725024 37618776 50158368 56428164 75237552 112856328 150475104 225712656 451425312