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4390936128 = 263810457
BaseRepresentation
bin1000001011011100…
…00101111001000000
3102100000022200000000
410011232011321000
532443034424003
62003413000000
7213545225025
oct40556057100
912300280000
104390936128
111953629337
12a26623000
1354c90b577
142d923954c
151aa7481a3
hex105b85e40

4390936128 has 126 divisors (see below), whose sum is σ = 13070481606. Its totient is φ = 1463505408.

The previous prime is 4390936087. The next prime is 4390936169. The reversal of 4390936128 is 8216390934.

It is a happy number.

4390936128 is a `hidden beast` number, since 439 + 0 + 93 + 6 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (4390936087) and next prime (4390936169).

It can be written as a sum of positive squares in only one way, i.e., 4283440704 + 107495424 = 65448^2 + 10368^2 .

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 17 ways as a sum of consecutive naturals, for example, 414676 + ... + 425132.

It is an arithmetic number, because the mean of its divisors is an integer number (103733981).

Almost surely, 24390936128 is an apocalyptic number.

4390936128 is a gapful number since it is divisible by the number (48) 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 4390936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535240803).

4390936128 is an abundant number, since it is smaller than the sum of its proper divisors (8679545478).

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

4390936128 is an frugal number, since it uses more digits than its factorization.

4390936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4390936128 is about 66264.1390798975. The cubic root of 4390936128 is about 1637.5165823778.

The spelling of 4390936128 in words is "four billion, three hundred ninety million, nine hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6561 7776 8748 10457 11664 13122 15552 17496 20914 23328 26244 31371 34992 41828 46656 52488 62742 69984 83656 94113 104976 125484 139968 167312 188226 209952 250968 282339 334624 376452 419904 501936 564678 669248 752904 847017 1003872 1129356 1505808 1694034 2007744 2258712 2541051 3011616 3388068 4517424 5082102 6023232 6776136 7623153 9034848 10164204 13552272 15246306 18069696 20328408 22869459 27104544 30492612 40656816 45738918 54209088 60985224 68608377 81313632 91477836 121970448 137216754 162627264 182955672 243940896 274433508 365911344 487881792 548867016 731822688 1097734032 1463645376 2195468064 4390936128