Search a number
-
+
451353040 = 24520392767
BaseRepresentation
bin11010111001110…
…001100111010000
31011110022002222021
4122321301213100
51411021244130
6112442021224
714120303035
oct3271614720
91143262867
10451353040
11211860246
121071a7814
1372681808
1443d3138c
152995937a
hex1ae719d0

451353040 has 40 divisors (see below), whose sum is σ = 1050289920. Its totient is φ = 180387456.

The previous prime is 451353017. The next prime is 451353053. The reversal of 451353040 is 40353154.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 451352996 and 451353014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161737 + ... + 164503.

It is an arithmetic number, because the mean of its divisors is an integer number (26257248).

Almost surely, 2451353040 is an apocalyptic number.

451353040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451353040 is an abundant number, since it is smaller than the sum of its proper divisors (598936880).

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

451353040 is a wasteful number, since it uses less digits than its factorization.

451353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 451353040 is about 21245.0709577539. The cubic root of 451353040 is about 767.0766989600.

The spelling of 451353040 in words is "four hundred fifty-one million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2039 2767 4078 5534 8156 10195 11068 13835 16312 20390 22136 27670 32624 40780 44272 55340 81560 110680 163120 221360 5641913 11283826 22567652 28209565 45135304 56419130 90270608 112838260 225676520 451353040