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455742378 = 2327132312097
BaseRepresentation
bin11011001010100…
…001001110101010
31011202120010000100
4123022201032222
51413132224003
6113120050230
714202513660
oct3312411652
91152503010
10455742378
11214288aa3
12108763976
137355a660
1444754c30
152a024ba3
hex1b2a13aa

455742378 has 96 divisors (see below), whose sum is σ = 1268257536. Its totient is φ = 114960384.

The previous prime is 455742367. The next prime is 455742403. The reversal of 455742378 is 873247554.

455742378 is a `hidden beast` number, since 4 + 5 + 574 + 2 + 3 + 78 = 666.

It is a super-3 number, since 3×4557423783 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31626 + ... + 43722.

It is an arithmetic number, because the mean of its divisors is an integer number (13211016).

Almost surely, 2455742378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455742378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634128768).

455742378 is an abundant number, since it is smaller than the sum of its proper divisors (812515158).

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

455742378 is a wasteful number, since it uses less digits than its factorization.

455742378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12148 (or 12145 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 455742378 is about 21348.1235240946. The cubic root of 455742378 is about 769.5552488681. Note that the first 3 decimals are identical.

The spelling of 455742378 in words is "four hundred fifty-five million, seven hundred forty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 117 126 138 161 182 207 234 273 299 322 414 483 546 598 819 897 966 1449 1638 1794 2093 2691 2898 4186 5382 6279 12097 12558 18837 24194 36291 37674 72582 84679 108873 157261 169358 217746 254037 278231 314522 471783 508074 556462 762111 834693 943566 1100827 1415349 1524222 1669386 1947617 2201654 2504079 2830698 3302481 3617003 3895234 5008158 5842851 6604962 7234006 9907443 10851009 11685702 17528553 19814886 21702018 25319021 32553027 35057106 50638042 65106054 75957063 151914126 227871189 455742378