Search a number
-
+
454153446 = 233232111733
BaseRepresentation
bin11011000100011…
…101010011100110
31011122120101102000
4123010131103212
51412230402241
6113022030130
714153145345
oct3304352346
91148511360
10454153446
112133a322a
12108118346
1373122366
144445db5c
1529d0deb6
hex1b11d4e6

454153446 has 64 divisors (see below), whose sum is σ = 1058711040. Its totient is φ = 144033120.

The previous prime is 454153387. The next prime is 454153457. The reversal of 454153446 is 644351454.

454153446 is a `hidden beast` number, since 45 + 41 + 534 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 454153446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261196 + ... + 262928.

It is an arithmetic number, because the mean of its divisors is an integer number (16542360).

Almost surely, 2454153446 is an apocalyptic number.

454153446 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 454153446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529355520).

454153446 is an abundant number, since it is smaller than the sum of its proper divisors (604557594).

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

454153446 is a wasteful number, since it uses less digits than its factorization.

454153446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 454153446 is about 21310.8762372644. The cubic root of 454153446 is about 768.6598637924.

The spelling of 454153446 in words is "four hundred fifty-four million, one hundred fifty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 211 414 422 621 633 1242 1266 1733 1899 3466 3798 4853 5199 5697 9706 10398 11394 14559 15597 29118 31194 39859 43677 46791 79718 87354 93582 119577 131031 239154 262062 358731 365663 717462 731326 1076193 1096989 2152386 2193978 3290967 6581934 8410249 9872901 16820498 19745802 25230747 50461494 75692241 151384482 227076723 454153446