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7888104225 = 32523121912
BaseRepresentation
bin1110101100010101…
…01110101100100001
3202100201212012202100
413112022232230201
5112123323313400
63342421241013
7366321531261
oct72612565441
922321765670
107888104225
1133886a1501
121641863169
139892c5bc1
1454b89b7a1
15312796100
hex1d62aeb21

7888104225 has 81 divisors (see below), whose sum is σ = 14675764467. Its totient is φ = 4049964000.

The previous prime is 7888104199. The next prime is 7888104241. The reversal of 7888104225 is 5224018887.

It is a happy number.

The square root of 7888104225 is 88815.

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., 2839717521 + 5048386704 = 53289^2 + 71052^2 .

It is not a de Polignac number, because 7888104225 - 217 = 7887973153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 80 ways as a sum of consecutive naturals, for example, 41298880 + ... + 41299070.

Almost surely, 27888104225 is an apocalyptic number.

7888104225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7888104225 is the 88815-th square number.

7888104225 is the 44408-th centered octagonal number.

It is an amenable number.

7888104225 is a deficient number, since it is larger than the sum of its proper divisors (6787660242).

7888104225 is a wasteful number, since it uses less digits than its factorization.

7888104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The cubic root of 7888104225 is about 1990.6315365507.

The spelling of 7888104225 in words is "seven billion, eight hundred eighty-eight million, one hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 191 225 279 465 573 775 955 961 1395 1719 2325 2865 2883 4775 4805 5921 6975 8595 8649 14325 14415 17763 24025 29605 36481 42975 43245 53289 72075 88815 109443 148025 182405 183551 216225 266445 328329 444075 547215 550653 912025 917755 1130911 1332225 1641645 1651959 2736075 2753265 3392733 4588775 5654555 8208225 8259795 10178199 13766325 16963665 28272775 35058241 41298975 50890995 84818325 105174723 175291205 254454975 315524169 525873615 876456025 1577620845 2629368075 7888104225