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454028520 = 2335111720233
BaseRepresentation
bin11011000011111…
…110110011101000
31011122100001001010
4123003332303220
51412212403040
6113015223520
714152115211
oct3303766350
91148301033
10454028520
11213318390
12108077ba0
13730aa53a
144442a408
1529cd6e80
hex1b0fece8

454028520 has 128 divisors (see below), whose sum is σ = 1573395840. Its totient is φ = 103587840.

The previous prime is 454028489. The next prime is 454028527. The reversal of 454028520 is 25820454.

It is a super-2 number, since 2×4540285202 = 412283793946780800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (454028527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12324 + ... + 32556.

It is an arithmetic number, because the mean of its divisors is an integer number (12292155).

Almost surely, 2454028520 is an apocalyptic number.

454028520 is a gapful number since it is divisible by the number (40) 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 454028520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786697920).

454028520 is an abundant number, since it is smaller than the sum of its proper divisors (1119367320).

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

454028520 is a wasteful number, since it uses less digits than its factorization.

454028520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20275 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 454028520 is about 21307.9449971132. The cubic root of 454028520 is about 768.5893777712.

Adding to 454028520 its reverse (25820454), we get a palindrome (479848974).

The spelling of 454028520 in words is "four hundred fifty-four million, twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 20233 22440 40466 60699 80932 101165 121398 161864 202330 222563 242796 303495 343961 404660 445126 485592 606990 667689 687922 809320 890252 1031883 1112815 1213980 1335378 1375844 1719805 1780504 2063766 2225630 2427960 2670756 2751688 3338445 3439610 3783571 4127532 4451260 5159415 5341512 6676890 6879220 7567142 8255064 8902520 10318830 11350713 13353780 13758440 15134284 18917855 20637660 22701426 26707560 30268568 37835710 41275320 45402852 56753565 75671420 90805704 113507130 151342840 227014260 454028520