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406661216 = 25131757503
BaseRepresentation
bin11000001111010…
…010100001100000
31001100012112022112
4120033102201200
51313101124331
6104204054452
713035364133
oct3017224140
91040175275
10406661216
11199605655
12b4234428
1366334550
143c01a21a
1525a7c32b
hex183d2860

406661216 has 48 divisors (see below), whose sum is σ = 912933504. Its totient is φ = 176646144.

The previous prime is 406661179. The next prime is 406661219. The reversal of 406661216 is 612166604.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406661219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21680 + ... + 35823.

It is an arithmetic number, because the mean of its divisors is an integer number (19019448).

Almost surely, 2406661216 is an apocalyptic number.

It is an amenable number.

406661216 is an abundant number, since it is smaller than the sum of its proper divisors (506272288).

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

406661216 is a wasteful number, since it uses less digits than its factorization.

406661216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57543 (or 57535 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 406661216 is about 20165.8428041081. The cubic root of 406661216 is about 740.8738253019.

The spelling of 406661216 in words is "four hundred six million, six hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 57503 115006 230012 460024 747539 920048 977551 1495078 1840096 1955102 2990156 3910204 5980312 7820408 11960624 12708163 15640816 23921248 25416326 31281632 50832652 101665304 203330608 406661216