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8906016 = 253729457
BaseRepresentation
bin100001111110…
…010100100000
3121202110202110
4201332110200
54234443031
6514515320
7135462030
oct41762440
917673673
108906016
115033249
122b95b40
131aca942
14127b8c0
15badc46
hex87e520

8906016 has 96 divisors (see below), whose sum is σ = 27699840. Its totient is φ = 2451456.

The previous prime is 8905997. The next prime is 8906017. The reversal of 8906016 is 6106098.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8906017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19260 + ... + 19716.

It is an arithmetic number, because the mean of its divisors is an integer number (288540).

Almost surely, 28906016 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 8906016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849920).

8906016 is an abundant number, since it is smaller than the sum of its proper divisors (18793824).

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

8906016 is a wasteful number, since it uses less digits than its factorization.

8906016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 8906016 is about 2984.2948915950. The cubic root of 8906016 is about 207.2817931623.

The spelling of 8906016 in words is "eight million, nine hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 457 464 609 672 696 812 914 928 1218 1371 1392 1624 1828 2436 2742 2784 3199 3248 3656 4872 5484 6398 6496 7312 9597 9744 10968 12796 13253 14624 19194 19488 21936 25592 26506 38388 39759 43872 51184 53012 76776 79518 92771 102368 106024 153552 159036 185542 212048 278313 307104 318072 371084 424096 556626 636144 742168 1113252 1272288 1484336 2226504 2968672 4453008 8906016