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1030625244 = 2232113137157
BaseRepresentation
bin111101011011100…
…001011111011100
32122211022012001100
4331123201133130
54102320001434
6250133513100
734353112215
oct7533413734
92584265040
101030625244
11489841000
122491a2790
131356a092c
149ac4040c
1560730699
hex3d6e17dc

1030625244 has 144 divisors (see below), whose sum is σ = 2904816096. Its totient is φ = 308056320.

The previous prime is 1030625243. The next prime is 1030625347. The reversal of 1030625244 is 4425260301.

1030625244 is a `hidden beast` number, since 1 + 0 + 30 + 625 + 2 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030625243) 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 47 ways as a sum of consecutive naturals, for example, 6564414 + ... + 6564570.

It is an arithmetic number, because the mean of its divisors is an integer number (20172334).

Almost surely, 21030625244 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 1030625244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452408048).

1030625244 is an abundant number, since it is smaller than the sum of its proper divisors (1874190852).

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

1030625244 is a wasteful number, since it uses less digits than its factorization.

1030625244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1030625244 is about 32103.3525352104. The cubic root of 1030625244 is about 1010.1059405914.

Adding to 1030625244 its reverse (4425260301), we get a palindrome (5455885545).

The spelling of 1030625244 in words is "one billion, thirty million, six hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 137 157 198 242 274 314 363 396 411 471 484 548 628 726 822 942 1089 1233 1331 1413 1452 1507 1644 1727 1884 2178 2466 2662 2826 3014 3454 3993 4356 4521 4932 5181 5324 5652 6028 6908 7986 9042 10362 11979 13563 15543 15972 16577 18084 18997 20724 21509 23958 27126 31086 33154 37994 43018 47916 49731 54252 56991 62172 64527 66308 75988 86036 99462 113982 129054 149193 170973 182347 193581 198924 208967 227964 236599 258108 298386 341946 364694 387162 417934 473198 547041 596772 626901 683892 709797 729388 774324 835868 946396 1094082 1253802 1419594 1641123 1880703 2129391 2188164 2507604 2602589 2839188 3282246 3761406 4258782 5205178 6564492 7522812 7807767 8517564 10410356 15615534 23423301 28628479 31231068 46846602 57256958 85885437 93693204 114513916 171770874 257656311 343541748 515312622 1030625244