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455149692 = 223104147
BaseRepresentation
bin11011001000010…
…000100001111100
31011201110000000000
4123020100201330
51413004242232
6113055234300
714164465014
oct3310204174
91151400000
10455149692
11213a13778
12108518990
13733b095a
144463cc44
1529e5927c
hex1b21087c

455149692 has 132 divisors (see below), whose sum is σ = 1249942176. Its totient is φ = 144866880.

The previous prime is 455149663. The next prime is 455149697. The reversal of 455149692 is 296941554.

455149692 is a `hidden beast` number, since 4 + 551 + 4 + 9 + 6 + 92 = 666.

It is a super-2 number, since 2×4551496922 = 414322484255389728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455149697) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 9684013 + ... + 9684059.

Almost surely, 2455149692 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 455149692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624971088).

455149692 is an abundant number, since it is smaller than the sum of its proper divisors (794792484).

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

455149692 is an equidigital number, since it uses as much as digits as its factorization.

455149692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 455149692 is about 21334.2375537538. The cubic root of 455149692 is about 769.2215058690.

The spelling of 455149692 in words is "four hundred fifty-five million, one hundred forty-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 47 54 81 82 94 108 123 141 162 164 188 243 246 282 324 369 423 486 492 564 729 738 846 972 1107 1269 1458 1476 1692 1927 2187 2214 2538 2916 3321 3807 3854 4374 4428 5076 5781 6561 6642 7614 7708 8748 9963 11421 11562 13122 13284 15228 17343 19683 19926 22842 23124 26244 29889 34263 34686 39366 39852 45684 52029 59049 59778 68526 69372 78732 89667 102789 104058 118098 119556 137052 156087 179334 205578 208116 236196 269001 308367 312174 358668 411156 468261 538002 616734 624348 807003 925101 936522 1076004 1233468 1404783 1614006 1850202 1873044 2421009 2775303 2809566 3228012 3700404 4214349 4842018 5550606 5619132 8428698 9684036 11101212 12643047 16857396 25286094 37929141 50572188 75858282 113787423 151716564 227574846 455149692