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30849888 = 2532111523
BaseRepresentation
bin111010110101…
…1101101100000
32011001100002110
41311223231200
530344144023
63021115320
7523135236
oct165535540
964040073
1030849888
1116460a83
12a3b8b40
136511a94
144150956
152a95a93
hex1d6bb60

30849888 has 48 divisors (see below), whose sum is σ = 81418176. Its totient is φ = 10227840.

The previous prime is 30849887. The next prime is 30849913. The reversal of 30849888 is 88894803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×308498882 = 1903431179225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30849887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19495 + ... + 21017.

It is an arithmetic number, because the mean of its divisors is an integer number (1696212).

Almost surely, 230849888 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 30849888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709088).

30849888 is an abundant number, since it is smaller than the sum of its proper divisors (50568288).

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

30849888 is a wasteful number, since it uses less digits than its factorization.

30849888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 30849888 is about 5554.2675484712. The cubic root of 30849888 is about 313.6301919772.

The spelling of 30849888 in words is "thirty million, eight hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1523 1688 2532 3046 3376 4569 5064 6092 6752 9138 10128 12184 18276 20256 24368 36552 48736 73104 146208 321353 642706 964059 1285412 1928118 2570824 3856236 5141648 7712472 10283296 15424944 30849888