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1645056048 = 243231579491
BaseRepresentation
bin110001000001101…
…1001000000110000
311020122110111122210
41202003121000300
511332113243143
6431123132120
755523513526
oct14203310060
94218414583
101645056048
11774655a59
1239ab14040
13202a7ca5c
141186a2316
159964e033
hex620d9030

1645056048 has 80 divisors (see below), whose sum is σ = 4463214336. Its totient is φ = 521114880.

The previous prime is 1645056047. The next prime is 1645056053. The reversal of 1645056048 is 8406505461.

It is a happy number.

It is a super-2 number, since 2×16450560482 = 5412418802122756608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1645055997 and 1645056015.

It is not an unprimeable number, because it can be changed into a prime (1645056047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168583 + ... + 178073.

Almost surely, 21645056048 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 1645056048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231607168).

1645056048 is an abundant number, since it is smaller than the sum of its proper divisors (2818158288).

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

1645056048 is a wasteful number, since it uses less digits than its factorization.

1645056048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 1645056048 is about 40559.2905263393. The cubic root of 1645056048 is about 1180.4843477516.

The spelling of 1645056048 in words is "one billion, six hundred forty-five million, fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 157 184 276 314 368 471 552 628 942 1104 1256 1884 2512 3611 3768 7222 7536 9491 10833 14444 18982 21666 28473 28888 37964 43332 56946 57776 75928 86664 113892 151856 173328 218293 227784 436586 455568 654879 873172 1309758 1490087 1746344 2619516 2980174 3492688 4470261 5239032 5960348 8940522 10478064 11920696 17881044 23841392 34272001 35762088 68544002 71524176 102816003 137088004 205632006 274176008 411264012 548352016 822528024 1645056048