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454442040 = 233251397103
BaseRepresentation
bin11011000101100…
…011110000111000
31011200010001021200
4123011203300320
51412314121130
6113032134200
714155456623
oct3305436070
91150101250
10454442040
11213580038
12108237360
13731c3820
14444d6dba
1529d69760
hex1b163c38

454442040 has 96 divisors (see below), whose sum is σ = 1590563520. Its totient is φ = 111861504.

The previous prime is 454442003. The next prime is 454442041. The reversal of 454442040 is 40244454.

It is a happy number.

454442040 is a `hidden beast` number, since 454 + 4 + 4 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 454441995 and 454442013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454442041) 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, 43872 + ... + 53231.

It is an arithmetic number, because the mean of its divisors is an integer number (16568370).

Almost surely, 2454442040 is an apocalyptic number.

454442040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454442040 is an abundant number, since it is smaller than the sum of its proper divisors (1136121480).

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

454442040 is a wasteful number, since it uses less digits than its factorization.

454442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97133 (or 97126 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 454442040 is about 21317.6462115310. The cubic root of 454442040 is about 768.8226455244.

Adding to 454442040 its reverse (40244454), we get a palindrome (494686494).

The spelling of 454442040 in words is "four hundred fifty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 97103 194206 291309 388412 485515 582618 776824 873927 971030 1165236 1262339 1456545 1747854 1942060 2330472 2524678 2913090 3495708 3787017 3884120 4369635 5049356 5826180 6311695 6991416 7574034 8739270 10098712 11361051 11652360 12623390 15148068 17478540 18935085 22722102 25246780 30296136 34957080 37870170 45444204 50493560 56805255 75740340 90888408 113610510 151480680 227221020 454442040