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454513428 = 2232176771097
BaseRepresentation
bin11011000101110…
…101001100010100
31011200020200012200
4123011311030110
51412323412203
6113033444500
714156205015
oct3305651424
91150220180
10454513428
11213619736
12108270730
137321a175
144451500c
1529d809a3
hex1b175314

454513428 has 72 divisors (see below), whose sum is σ = 1219399272. Its totient is φ = 142252032.

The previous prime is 454513427. The next prime is 454513441. The reversal of 454513428 is 824315454.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 226261764 + 228251664 = 15042^2 + 15108^2 .

It is a super-2 number, since 2×4545134282 = 413164912464622368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 454513392 and 454513401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454513427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413776 + ... + 414872.

It is an arithmetic number, because the mean of its divisors is an integer number (16936101).

Almost surely, 2454513428 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 454513428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609699636).

454513428 is an abundant number, since it is smaller than the sum of its proper divisors (764885844).

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

454513428 is a wasteful number, since it uses less digits than its factorization.

454513428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1796 counting only the distinct ones).

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

The square root of 454513428 is about 21319.3205332628. The cubic root of 454513428 is about 768.8629013638.

The spelling of 454513428 in words is "four hundred fifty-four million, five hundred thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 677 1097 1354 2031 2194 2708 3291 4062 4388 6093 6582 8124 9873 11509 12186 13164 18649 19746 23018 24372 34527 37298 39492 46036 55947 69054 74596 103581 111894 138108 167841 207162 223788 335682 414324 671364 742669 1485338 2228007 2970676 4456014 6684021 8912028 12625373 13368042 25250746 26736084 37876119 50501492 75752238 113628357 151504476 227256714 454513428