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411887025 = 3452112412
BaseRepresentation
bin11000100011001…
…110010110110001
31001201001000210000
4120203032112301
51320420341100
6104512100213
713130660544
oct3043162661
91051030700
10411887025
111a1554900
12b5b34669
1367444044
143c9ba85b
1526260900
hex188ce5b1

411887025 has 135 divisors (see below), whose sum is σ = 859575409. Its totient is φ = 194832000.

The previous prime is 411887023. The next prime is 411887027. The reversal of 411887025 is 520788114.

The square root of 411887025 is 20295.

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

It is an interprime number because it is at equal distance from previous prime (411887023) and next prime (411887027).

It can be written as a sum of positive squares in 4 ways, for example, as 173369889 + 238517136 = 13167^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 411887025 - 21 = 411887023 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (411887023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10046005 + ... + 10046045.

Almost surely, 2411887025 is an apocalyptic number.

411887025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

411887025 is the 20295-th square number.

411887025 is the 10148-th centered octagonal number.

It is an amenable number.

411887025 is an abundant number, since it is smaller than the sum of its proper divisors (447688384).

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

411887025 is a wasteful number, since it uses less digits than its factorization.

411887025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The cubic root of 411887025 is about 744.0338661743.

Multiplying 411887025 by its sum of digits (36), we get a square (14827932900 = 1217702).

The spelling of 411887025 in words is "four hundred eleven million, eight hundred eighty-seven thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 41 45 55 75 81 99 121 123 135 165 205 225 275 297 363 369 405 451 495 605 615 675 825 891 1025 1089 1107 1353 1485 1681 1815 1845 2025 2255 2475 3025 3075 3267 3321 4059 4455 4961 5043 5445 5535 6765 7425 8405 9075 9225 9801 11275 12177 14883 15129 16335 16605 18491 20295 22275 24805 25215 27225 27675 33825 36531 42025 44649 45387 49005 55473 60885 74415 75645 81675 83025 92455 101475 124025 126075 133947 136161 166419 182655 203401 223245 226935 245025 277365 304425 372075 378225 401841 462275 499257 610203 669735 680805 832095 913275 1017005 1116225 1134675 1386825 1497771 1830609 2009205 2496285 3051015 3348675 3404025 4160475 5085025 5491827 7488855 9153045 10046025 12481425 15255075 16475481 27459135 37444275 45765225 82377405 137295675 411887025