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5466825 = 335271389
BaseRepresentation
bin10100110110101011001001
3101021202002000
4110312223021
52344414300
6313101213
764316160
oct24665311
911252060
105466825
1130a4341
1219b7809
131195410
14a243d7
1572ec00
hex536ac9

5466825 has 96 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 2280960.

The previous prime is 5466781. The next prime is 5466829. The reversal of 5466825 is 5286645.

It is not a de Polignac number, because 5466825 - 28 = 5466569 is a prime.

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

Its product of digits (57600) is a multiple of the sum of its prime factors (128).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5466825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61381 + ... + 61469.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 25466825 is an apocalyptic number.

It is an amenable number.

5466825 is an abundant number, since it is smaller than the sum of its proper divisors (7032375).

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

5466825 is a wasteful number, since it uses less digits than its factorization.

5466825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5466825 is about 2338.1242481955. The cubic root of 5466825 is about 176.1617937993.

The spelling of 5466825 in words is "five million, four hundred sixty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 89 91 105 117 135 175 189 195 225 267 273 315 325 351 445 455 525 585 623 675 801 819 945 975 1157 1335 1365 1575 1755 1869 2225 2275 2403 2457 2925 3115 3471 4005 4095 4725 5607 5785 6675 6825 8099 8775 9345 10413 12015 12285 15575 16821 17355 20025 20475 24297 28035 28925 31239 40495 46725 52065 60075 61425 72891 84105 86775 121485 140175 156195 202475 218673 260325 364455 420525 607425 780975 1093365 1822275 5466825