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8381406 = 2311292151
BaseRepresentation
bin11111111110001111011110
3120202211010110
4133332033132
54121201111
6455350450
7131145405
oct37761736
916684113
108381406
114805090
122982426
131975c17
14118263c
15b085a6
hex7fe3de

8381406 has 48 divisors (see below), whose sum is σ = 19064448. Its totient is φ = 2436000.

The previous prime is 8381393. The next prime is 8381437. The reversal of 8381406 is 6041838.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55431 + ... + 55581.

It is an arithmetic number, because the mean of its divisors is an integer number (397176).

Almost surely, 28381406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8381406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532224).

8381406 is an abundant number, since it is smaller than the sum of its proper divisors (10683042).

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

8381406 is a wasteful number, since it uses less digits than its factorization.

8381406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8381406 is about 2895.0658023610. The cubic root of 8381406 is about 203.1291694923.

The spelling of 8381406 in words is "eight million, three hundred eighty-one thousand, four hundred six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 151 174 302 319 453 638 841 906 957 1661 1682 1914 2523 3322 4379 4983 5046 8758 9251 9966 13137 18502 26274 27753 48169 55506 96338 126991 144507 253982 289014 380973 761946 1396901 2793802 4190703 8381406