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30208896 = 27338741
BaseRepresentation
bin111001100111…
…1001110000000
32002211202211000
41303033032000
530213141041
62555252000
7514525404
oct163171600
962752730
1030208896
1116063433
12a14a000
1363490b3
144025104
1529babb6
hex1ccf380

30208896 has 64 divisors (see below), whose sum is σ = 89168400. Its totient is φ = 10068480.

The previous prime is 30208877. The next prime is 30208901. The reversal of 30208896 is 69880203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30208896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915 + ... + 7826.

Almost surely, 230208896 is an apocalyptic number.

30208896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44584200).

30208896 is an abundant number, since it is smaller than the sum of its proper divisors (58959504).

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

30208896 is an equidigital number, since it uses as much as digits as its factorization.

30208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30208896 is about 5496.2620024886. The cubic root of 30208896 is about 311.4427924456.

The spelling of 30208896 in words is "thirty million, two hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 8741 17482 26223 34964 52446 69928 78669 104892 139856 157338 209784 236007 279712 314676 419568 472014 559424 629352 839136 944028 1118848 1258704 1678272 1888056 2517408 3356544 3776112 5034816 7552224 10069632 15104448 30208896