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7914216 = 2332983137
BaseRepresentation
bin11110001100001011101000
3112220002021010
4132030023220
54011223331
6441343520
7124161342
oct36141350
915802233
107914216
114516082
122797ba0
13184138b
1410a0292
15a64e46
hex78c2e8

7914216 has 64 divisors (see below), whose sum is σ = 20865600. Its totient is φ = 2498048.

The previous prime is 7914209. The next prime is 7914227. The reversal of 7914216 is 6124197.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 57700 + ... + 57836.

It is an arithmetic number, because the mean of its divisors is an integer number (326025).

Almost surely, 27914216 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 7914216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432800).

7914216 is an abundant number, since it is smaller than the sum of its proper divisors (12951384).

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

7914216 is a wasteful number, since it uses less digits than its factorization.

7914216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 7914216 is about 2813.2216407528. The cubic root of 7914216 is about 199.2825628302.

The spelling of 7914216 in words is "seven million, nine hundred fourteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 137 166 174 232 249 274 332 348 411 498 548 664 696 822 996 1096 1644 1992 2407 3288 3973 4814 7221 7946 9628 11371 11919 14442 15892 19256 22742 23838 28884 31784 34113 45484 47676 57768 68226 90968 95352 136452 272904 329759 659518 989277 1319036 1978554 2638072 3957108 7914216