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1064408025 = 352192943599
BaseRepresentation
bin111111011100011…
…001001111011001
32202011212112022110
4333130121033121
54134442024100
6253341542533
735243214252
oct7734311731
92664775273
101064408025
114a691555a
12258574a49
1313c69b645
14a1515b29
15636a5250
hex3f7193d9

1064408025 has 96 divisors (see below), whose sum is σ = 1964160000. Its totient is φ = 506338560.

The previous prime is 1064408017. The next prime is 1064408027. The reversal of 1064408025 is 5208044601.

It is not a de Polignac number, because 1064408025 - 23 = 1064408017 is a prime.

It is a super-2 number, since 2×10644080252 = 2265928887368801250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064407983 and 1064408001.

It is not an unprimeable number, because it can be changed into a prime (1064408027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1776676 + ... + 1777274.

It is an arithmetic number, because the mean of its divisors is an integer number (20460000).

Almost surely, 21064408025 is an apocalyptic number.

1064408025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1064408025 is a deficient number, since it is larger than the sum of its proper divisors (899751975).

1064408025 is a wasteful number, since it uses less digits than its factorization.

1064408025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1064408025 is about 32625.2666655769. The cubic root of 1064408025 is about 1021.0242258962.

The spelling of 1064408025 in words is "one billion, sixty-four million, four hundred eight thousand, twenty-five".

Divisors: 1 3 5 15 19 25 29 43 57 75 87 95 129 145 215 285 435 475 551 599 645 725 817 1075 1247 1425 1653 1797 2175 2451 2755 2995 3225 3741 4085 6235 8265 8985 11381 12255 13775 14975 17371 18705 20425 23693 25757 31175 34143 41325 44925 52113 56905 61275 71079 77271 86855 93525 118465 128785 170715 260565 284525 330049 355395 386355 434275 489383 592325 643925 746953 853575 990147 1302825 1468149 1650245 1776975 1931775 2240859 2446915 3734765 4950735 7340745 8251225 11204295 12234575 14192107 18673825 24753675 36703725 42576321 56021475 70960535 212881605 354802675 1064408025