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7681416 = 2331767281
BaseRepresentation
bin11101010011010110001000
3112110020220220
4131103112020
53431301131
6432350040
7122201541
oct35232610
915406826
107681416
114377186
1226a5320
13178c422
14103d4c8
15a1ae96
hex753588

7681416 has 64 divisors (see below), whose sum is σ = 20710080. Its totient is φ = 2365440.

The previous prime is 7681411. The next prime is 7681417. The reversal of 7681416 is 6141867.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681411) 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 15 ways as a sum of consecutive naturals, for example, 27196 + ... + 27476.

It is an arithmetic number, because the mean of its divisors is an integer number (323595).

Almost surely, 27681416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7681416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10355040).

7681416 is an abundant number, since it is smaller than the sum of its proper divisors (13028664).

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

7681416 is a wasteful number, since it uses less digits than its factorization.

7681416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 7681416 is about 2771.5367578295. The cubic root of 7681416 is about 197.3090907440.

The spelling of 7681416 in words is "seven million, six hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 281 402 408 536 562 804 843 1124 1139 1608 1686 2248 2278 3372 3417 4556 4777 6744 6834 9112 9554 13668 14331 18827 19108 27336 28662 37654 38216 56481 57324 75308 112962 114648 150616 225924 320059 451848 640118 960177 1280236 1920354 2560472 3840708 7681416