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455784640 = 2653673881
BaseRepresentation
bin11011001010101…
…011100011000000
31011202122020222121
4123022223203000
51413140102030
6113121014024
714203051123
oct3312534300
91152566877
10455784640
11214307823
12108784314
137357396c
14447663ba
152a03247a
hex1b2ab8c0

455784640 has 56 divisors (see below), whose sum is σ = 1088574912. Its totient is φ = 181770240.

The previous prime is 455784613. The next prime is 455784643. The reversal of 455784640 is 46487554.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (455784643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115500 + ... + 119380.

Almost surely, 2455784640 is an apocalyptic number.

455784640 is a gapful number since it is divisible by the number (40) 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 455784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544287456).

455784640 is an abundant number, since it is smaller than the sum of its proper divisors (632790272).

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

455784640 is a wasteful number, since it uses less digits than its factorization.

455784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The square root of 455784640 is about 21349.1133305344. The cubic root of 455784640 is about 769.5790356537.

The spelling of 455784640 in words is "four hundred fifty-five million, seven hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 367 734 1468 1835 2936 3670 3881 5872 7340 7762 11744 14680 15524 19405 23488 29360 31048 38810 58720 62096 77620 117440 124192 155240 248384 310480 620960 1241920 1424327 2848654 5697308 7121635 11394616 14243270 22789232 28486540 45578464 56973080 91156928 113946160 227892320 455784640