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455853640 = 235111760943
BaseRepresentation
bin11011001010111…
…100011001001000
31011202202202122011
4123022330121020
51413144304030
6113122305304
714203456234
oct3312743110
91152682564
10455853640
11214354650
121087b8234
13735991a8
14447835c4
152a047b2a
hex1b2bc648

455853640 has 64 divisors (see below), whose sum is σ = 1184751360. Its totient is φ = 156011520.

The previous prime is 455853631. The next prime is 455853641. The reversal of 455853640 is 46358554.

It is a super-2 number, since 2×4558536402 = 415605082202499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 455853593 and 455853602.

It is not an unprimeable number, because it can be changed into a prime (455853641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22992 + ... + 37951.

It is an arithmetic number, because the mean of its divisors is an integer number (18511740).

Almost surely, 2455853640 is an apocalyptic number.

455853640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455853640 is an abundant number, since it is smaller than the sum of its proper divisors (728897720).

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

455853640 is a wasteful number, since it uses less digits than its factorization.

455853640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60982 (or 60978 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The square root of 455853640 is about 21350.7292615498. The cubic root of 455853640 is about 769.6178685216.

The spelling of 455853640 in words is "four hundred fifty-five million, eight hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 60943 121886 243772 304715 487544 609430 670373 1036031 1218860 1340746 2072062 2437720 2681492 3351865 4144124 5180155 5362984 6703730 8288248 10360310 11396341 13407460 20720620 22792682 26814920 41441240 45585364 56981705 91170728 113963410 227926820 455853640