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2154445056 = 28329672
BaseRepresentation
bin1000000001101010…
…0011100100000000
312120010222011000100
42000122203210000
513403014220211
6553441122400
7104250323631
oct20032434400
95503864010
102154445056
11a06145505
12501629400
1328447157a
141661bd888
15c921e156
hex806a3900

2154445056 has 81 divisors (see below), whose sum is σ = 6218226651. Its totient is φ = 717405696.

The previous prime is 2154445021. The next prime is 2154445067. The reversal of 2154445056 is 6505444512.

The square root of 2154445056 is 46416.

It is a perfect power (a square), and thus also a powerful number.

2154445056 is a `hidden beast` number, since 2 + 154 + 4 + 450 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2154445056.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2227485 + ... + 2228451.

Almost surely, 22154445056 is an apocalyptic number.

2154445056 is the 46416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154445056

2154445056 is an abundant number, since it is smaller than the sum of its proper divisors (4063781595).

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

2154445056 is an frugal number, since it uses more digits than its factorization.

2154445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 972 counting only the distinct ones).

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

The cubic root of 2154445056 is about 1291.5517364231.

Multiplying 2154445056 by its sum of digits (36), we get a square (77560022016 = 2784962).

2154445056 divided by its sum of digits (36) gives a square (59845696 = 77362).

Adding to 2154445056 its reverse (6505444512), we get a palindrome (8659889568).

The spelling of 2154445056 in words is "two billion, one hundred fifty-four million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 967 1152 1934 2304 2901 3868 5802 7736 8703 11604 15472 17406 23208 30944 34812 46416 61888 69624 92832 123776 139248 185664 247552 278496 371328 556992 742656 935089 1113984 1870178 2227968 2805267 3740356 5610534 7480712 8415801 11221068 14961424 16831602 22442136 29922848 33663204 44884272 59845696 67326408 89768544 119691392 134652816 179537088 239382784 269305632 359074176 538611264 718148352 1077222528 2154445056