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455245164 = 2233112316661
BaseRepresentation
bin11011001000100…
…111110101101100
31011201121211222000
4123020213311230
51413020321124
6113101252300
714165343243
oct3310476554
91151554860
10455245164
11213a79480
12108564090
137341524a
144466595a
1529e776c9
hex1b227d6c

455245164 has 96 divisors (see below), whose sum is σ = 1343623680. Its totient is φ = 131947200.

The previous prime is 455245157. The next prime is 455245183. The reversal of 455245164 is 461542554.

455245164 is a `hidden beast` number, since 4 + 552 + 45 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18994 + ... + 35654.

It is an arithmetic number, because the mean of its divisors is an integer number (13996080).

Almost surely, 2455245164 is an apocalyptic number.

455245164 is a gapful number since it is divisible by the number (44) 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 455245164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671811840).

455245164 is an abundant number, since it is smaller than the sum of its proper divisors (888378516).

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

455245164 is a wasteful number, since it uses less digits than its factorization.

455245164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16708 (or 16700 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 455245164 is about 21336.4749665918. The cubic root of 455245164 is about 769.2752859642.

The spelling of 455245164 in words is "four hundred fifty-five million, two hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6831 9108 13662 16661 27324 33322 49983 66644 99966 149949 183271 199932 299898 366542 383203 449847 549813 599796 733084 766406 899694 1099626 1149609 1532812 1649439 1799388 2199252 2299218 3298878 3448827 4215233 4598436 4948317 6597756 6897654 8430466 9896634 10346481 12645699 13795308 16860932 19793268 20692962 25291398 37937097 41385924 50582796 75874194 113811291 151748388 227622582 455245164