Search a number
-
+
1478221056 = 28331316451
BaseRepresentation
bin101100000011011…
…1101110100000000
310211000112102002000
41120012331310000
511011411033211
6402403224000
751426446244
oct13006756400
93730472060
101478221056
116994653a4
12353078000
131a7338220
14100474424
1589b96656
hex581bdd00

1478221056 has 144 divisors (see below), whose sum is σ = 4707904320. Its totient is φ = 454809600.

The previous prime is 1478221037. The next prime is 1478221079. The reversal of 1478221056 is 6501228741.

It is a tau number, because it is divible by the number of its divisors (144).

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 1478221056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81631 + ... + 98081.

It is an arithmetic number, because the mean of its divisors is an integer number (32693780).

Almost surely, 21478221056 is an apocalyptic number.

1478221056 is a gapful number since it is divisible by the number (16) 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 1478221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353952160).

1478221056 is an abundant number, since it is smaller than the sum of its proper divisors (3229683264).

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

1478221056 is a wasteful number, since it uses less digits than its factorization.

1478221056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16489 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1478221056 is about 38447.6404477570. The cubic root of 1478221056 is about 1139.1470628307.

Adding to 1478221056 its reverse (6501228741), we get a palindrome (7979449797).

The spelling of 1478221056 in words is "one billion, four hundred seventy-eight million, two hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 16451 22464 29952 32902 44928 49353 65804 89856 98706 131608 148059 197412 213863 263216 296118 394824 427726 444177 526432 592236 641589 789648 855452 888354 1052864 1184472 1283178 1579296 1710904 1776708 1924767 2105728 2368944 2566356 3158592 3421808 3553416 3849534 4211456 4737888 5132712 5774301 6317184 6843616 7106832 7699068 9475776 10265424 11548602 12634368 13687232 14213664 15398136 18951552 20530848 23097204 27374464 28427328 30796272 37903104 41061696 46194408 54748928 56854656 61592544 82123392 92388816 113709312 123185088 164246784 184777632 246370176 369555264 492740352 739110528 1478221056