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411352425 = 34521159313
BaseRepresentation
bin11000100001001…
…011110101101001
31001200000212110000
4120201023311221
51320301234200
6104452413213
713123303131
oct3041136551
91050025400
10411352425
111a121a190
12b5917209
13672b7903
143c8bbac1
15261a7300
hex1884bd69

411352425 has 120 divisors (see below), whose sum is σ = 848026080. Its totient is φ = 195436800.

The previous prime is 411352411. The next prime is 411352427. The reversal of 411352425 is 524253114.

411352425 is a `hidden beast` number, since 4 + 113 + 524 + 25 = 666.

It is not a de Polignac number, because 411352425 - 27 = 411352297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (411352427) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1314069 + ... + 1314381.

It is an arithmetic number, because the mean of its divisors is an integer number (7066884).

Almost surely, 2411352425 is an apocalyptic number.

411352425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

411352425 is an abundant number, since it is smaller than the sum of its proper divisors (436673655).

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

411352425 is a wasteful number, since it uses less digits than its factorization.

411352425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 411352425 is about 20281.8249918492. The cubic root of 411352425 is about 743.7118258306.

It can be divided in two parts, 411 and 352425, that added together give a square (352836 = 5942).

The spelling of 411352425 in words is "four hundred eleven million, three hundred fifty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 59 75 81 99 135 165 177 225 275 295 297 313 405 495 531 649 675 825 885 891 939 1475 1485 1565 1593 1947 2025 2475 2655 2817 3245 3443 4425 4455 4695 4779 5841 7425 7825 7965 8451 9735 10329 13275 14085 16225 17215 17523 18467 22275 23475 23895 25353 29205 30987 39825 42255 48675 51645 52569 55401 70425 86075 87615 92335 92961 119475 126765 146025 154935 166203 203137 211275 258225 262845 277005 278883 438075 461675 464805 498609 609411 633825 774675 831015 1015685 1314225 1385025 1394415 1495827 1828233 2324025 2493045 3047055 4155075 5078425 5484699 6972075 7479135 9141165 12465225 15235275 16454097 27423495 37395675 45705825 82270485 137117475 411352425