Search a number
-
+
454161792 = 2737224137
BaseRepresentation
bin11011000100011…
…111010110000000
31011122120210212010
4123010133112000
51412231134132
6113022132520
714153211600
oct3304372600
91148523763
10454161792
112133a9527
12108121140
13731260b6
1444462c00
1529d116cc
hex1b11f580

454161792 has 96 divisors (see below), whose sum is σ = 1403383320. Its totient is φ = 129755136.

The previous prime is 454161767. The next prime is 454161833. The reversal of 454161792 is 297161454.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 454161792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6748 + ... + 30884.

Almost surely, 2454161792 is an apocalyptic number.

454161792 is a gapful number since it is divisible by the number (42) 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 454161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701691660).

454161792 is an abundant number, since it is smaller than the sum of its proper divisors (949221528).

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

454161792 is a wasteful number, since it uses less digits than its factorization.

454161792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24168 (or 24149 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 454161792 is about 21311.0720518701. The cubic root of 454161792 is about 768.6645723302.

The spelling of 454161792 in words is "four hundred fifty-four million, one hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 24137 48274 72411 96548 144822 168959 193096 289644 337918 386192 506877 579288 675836 772384 1013754 1158576 1182713 1351672 1544768 2027508 2317152 2365426 2703344 3089536 3548139 4055016 4634304 4730852 5406688 7096278 8110032 9268608 9461704 10813376 14192556 16220064 18923408 21626752 28385112 32440128 37846816 56770224 64880256 75693632 113540448 151387264 227080896 454161792