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454143492 = 2232112137761
BaseRepresentation
bin11011000100011…
…010111000000100
31011122112212202100
4123010122320010
51412230042432
6113021512100
714153104335
oct3304327004
91148485670
10454143492
11213396800
12108112630
137311a97a
144445a28c
1529d0b07c
hex1b11ae04

454143492 has 108 divisors (see below), whose sum is σ = 1272703068. Its totient is φ = 136435200.

The previous prime is 454143463. The next prime is 454143493. The reversal of 454143492 is 294341454.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 363817476 = 9504^2 + 19074^2 .

It is a super-2 number, since 2×4541434922 = 412492622651908128, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (454143493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596392 + ... + 597152.

Almost surely, 2454143492 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 454143492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636351534).

454143492 is an abundant number, since it is smaller than the sum of its proper divisors (818559576).

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

454143492 is a wasteful number, since it uses less digits than its factorization.

454143492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 454143492 is about 21310.6426932648. The cubic root of 454143492 is about 768.6542479987.

The spelling of 454143492 in words is "four hundred fifty-four million, one hundred forty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 137 198 242 274 363 396 411 484 548 726 761 822 1089 1233 1452 1507 1522 1644 2178 2283 2466 3014 3044 4356 4521 4566 4932 6028 6849 8371 9042 9132 13563 13698 16577 16742 18084 25113 27126 27396 33154 33484 49731 50226 54252 66308 75339 92081 99462 100452 104257 149193 150678 184162 198924 208514 276243 298386 301356 312771 368324 417028 552486 596772 625542 828729 938313 1104972 1146827 1251084 1657458 1876626 2293654 3314916 3440481 3753252 4587308 6880962 10321443 12615097 13761924 20642886 25230194 37845291 41285772 50460388 75690582 113535873 151381164 227071746 454143492