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3925273104 = 24322322272
BaseRepresentation
bin1110100111110110…
…1110101000010000
3101010120002112102100
43221331232220100
531014332214404
61445300120400
7166162161624
oct35175565020
911116075370
103925273104
111734794865
12916696100
134a72b950c
14293461184
1517e913d39
hexe9f6ea10

3925273104 has 135 divisors (see below), whose sum is σ = 11534513263. Its totient is φ = 1246022976.

The previous prime is 3925273087. The next prime is 3925273141. The reversal of 3925273104 is 4013725293.

The square root of 3925273104 is 62652.

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

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17291839 + ... + 17292065.

Almost surely, 23925273104 is an apocalyptic number.

3925273104 is the 62652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3925273104

3925273104 is an abundant number, since it is smaller than the sum of its proper divisors (7609240159).

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

3925273104 is a wasteful number, since it uses less digits than its factorization.

3925273104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 3925273104 is about 1577.4537184858.

Multiplying 3925273104 by its sum of digits (36), we get a square (141309831744 = 3759122).

3925273104 divided by its sum of digits (36) gives a square (109035364 = 104422).

Adding to 3925273104 its reverse (4013725293), we get a palindrome (7938998397).

The spelling of 3925273104 in words is "three billion, nine hundred twenty-five million, two hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 227 276 368 414 454 529 552 681 828 908 1058 1104 1362 1587 1656 1816 2043 2116 2724 3174 3312 3632 4086 4232 4761 5221 5448 6348 8172 8464 9522 10442 10896 12696 15663 16344 19044 20884 25392 31326 32688 38088 41768 46989 51529 62652 76176 83536 93978 103058 120083 125304 154587 187956 206116 240166 250608 309174 360249 375912 412232 463761 480332 618348 720498 751824 824464 927522 960664 1080747 1185167 1236696 1440996 1855044 1921328 2161494 2370334 2473392 2881992 3555501 3710088 4322988 4740668 5763984 7111002 7420176 8645976 9481336 10666503 14222004 17291952 18962672 21333006 27258841 28444008 42666012 54517682 56888016 81776523 85332024 109035364 163553046 170664048 218070728 245329569 327106092 436141456 490659138 654212184 981318276 1308424368 1962636552 3925273104