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455365152 = 25341115971
BaseRepresentation
bin11011001001000…
…101001000100000
31011201211221120000
4123021011020200
51413033141102
6113104020000
714166353124
oct3311051040
91151757500
10455365152
11214050640
12108601600
1373457a48
1444697584
1529e9d01c
hex1b245220

455365152 has 120 divisors (see below), whose sum is σ = 1461054672. Its totient is φ = 137980800.

The previous prime is 455365151. The next prime is 455365171. The reversal of 455365152 is 251563554.

455365152 is a `hidden beast` number, since 4 + 553 + 6 + 51 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (455365151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20527 + ... + 36497.

Almost surely, 2455365152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730527336).

455365152 is an abundant number, since it is smaller than the sum of its proper divisors (1005689520).

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

455365152 is a wasteful number, since it uses less digits than its factorization.

455365152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16004 (or 15987 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 455365152 is about 21339.2865860131. The cubic root of 455365152 is about 769.3428654445.

The spelling of 455365152 in words is "four hundred fifty-five million, three hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 15971 28512 31942 47913 63884 95826 127768 143739 175681 191652 255536 287478 351362 383304 431217 511072 527043 574956 702724 766608 862434 1054086 1149912 1293651 1405448 1533216 1581129 1724868 2108172 2299824 2587302 2810896 3162258 3449736 4216344 4599648 4743387 5174604 5621792 6324516 6899472 8432688 9486774 10349208 12649032 13798944 14230161 16865376 18973548 20698416 25298064 28460322 37947096 41396832 50596128 56920644 75894192 113841288 151788384 227682576 455365152