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7125048100 = 22522323672
BaseRepresentation
bin1101010001010111…
…11001101100100100
3200101120000221112101
412220223321230210
5104043003014400
63135002301444
7341364623662
oct65053715444
920346027471
107125048100
1130269a4105
12146a1b7884
138971a97c1
144b83cbc32
152ba7ba56a
hex1a8af9b24

7125048100 has 81 divisors (see below), whose sum is σ = 16206975057. Its totient is φ = 2718677280.

The previous prime is 7125048097. The next prime is 7125048173. The reversal of 7125048100 is 18405217.

The square root of 7125048100 is 84410.

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

It can be written as a sum of positive squares in only one way, i.e., 2565017316 + 4560030784 = 50646^2 + 67528^2 .

It is a super-2 number, since 2×71250481002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 19414117 + ... + 19414483.

Almost surely, 27125048100 is an apocalyptic number.

7125048100 is the 84410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7125048100

7125048100 is an abundant number, since it is smaller than the sum of its proper divisors (9081926957).

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

7125048100 is a wasteful number, since it uses less digits than its factorization.

7125048100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The cubic root of 7125048100 is about 1924.2548957551.

The spelling of 7125048100 in words is "seven billion, one hundred twenty-five million, forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 367 460 529 575 734 1058 1150 1468 1835 2116 2300 2645 3670 5290 7340 8441 9175 10580 13225 16882 18350 26450 33764 36700 42205 52900 84410 134689 168820 194143 211025 269378 388286 422050 538756 673445 776572 844100 970715 1346890 1941430 2693780 3097847 3367225 3882860 4853575 6195694 6734450 9707150 12391388 13468900 15489235 19414300 30978470 61956940 71250481 77446175 142500962 154892350 285001924 309784700 356252405 712504810 1425009620 1781262025 3562524050 7125048100