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455134284 = 22321119241251
BaseRepresentation
bin11011001000001…
…100110001001100
31011201102012212100
4123020030301030
51413003244114
6113055035100
714164402053
oct3310146114
91151365770
10455134284
11213a03140
1210850ba90
13733a6937
144463739a
1529e54909
hex1b20cc4c

455134284 has 144 divisors (see below), whose sum is σ = 1331890560. Its totient is φ = 129600000.

The previous prime is 455134271. The next prime is 455134289. The reversal of 455134284 is 482431554.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (455134289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813159 + ... + 1813409.

It is an arithmetic number, because the mean of its divisors is an integer number (9249240).

Almost surely, 2455134284 is an apocalyptic number.

455134284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455134284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665945280).

455134284 is an abundant number, since it is smaller than the sum of its proper divisors (876756276).

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

455134284 is a wasteful number, since it uses less digits than its factorization.

455134284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 455134284 is about 21333.8764410034. The cubic root of 455134284 is about 769.2128257220.

The spelling of 455134284 in words is "four hundred fifty-five million, one hundred thirty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 241 251 342 396 418 482 502 627 684 723 753 836 964 1004 1254 1446 1506 1881 2169 2259 2508 2651 2761 2892 3012 3762 4338 4518 4579 4769 5302 5522 7524 7953 8283 8676 9036 9158 9538 10604 11044 13737 14307 15906 16566 18316 19076 23859 24849 27474 28614 31812 33132 41211 42921 47718 49698 50369 52459 54948 57228 60491 82422 85842 95436 99396 100738 104918 120982 151107 157377 164844 171684 181473 201476 209836 241964 302214 314754 362946 453321 472131 544419 604428 629508 665401 725892 906642 944262 1088838 1149329 1330802 1813284 1888524 1996203 2177676 2298658 2661604 3447987 3992406 4597316 5988609 6895974 7984812 10343961 11977218 12642619 13791948 20687922 23954436 25285238 37927857 41375844 50570476 75855714 113783571 151711428 227567142 455134284