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30198976 = 262953307
BaseRepresentation
bin111001100110…
…0110011000000
32002211021012121
41303030303000
530212331401
62555134024
7514454443
oct163146300
962737177
1030198976
1116056a35
12a144314
136344722
14402165a
1529b7ca1
hex1ccccc0

30198976 has 56 divisors (see below), whose sum is σ = 63367920. Its totient is φ = 14257152.

The previous prime is 30198967. The next prime is 30198983. The reversal of 30198976 is 67989103.

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 98215 + ... + 98521.

It is an arithmetic number, because the mean of its divisors is an integer number (1131570).

Almost surely, 230198976 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 30198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31683960).

30198976 is an abundant number, since it is smaller than the sum of its proper divisors (33168944).

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

30198976 is a wasteful number, since it uses less digits than its factorization.

30198976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 30198976 is about 5495.3594968846. The cubic root of 30198976 is about 311.4086981759.

The spelling of 30198976 in words is "thirty million, one hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 212 232 307 424 464 614 848 928 1228 1537 1696 1856 2456 3074 3392 4912 6148 8903 9824 12296 16271 17806 19648 24592 32542 35612 49184 65084 71224 98368 130168 142448 260336 284896 471859 520672 569792 943718 1041344 1887436 3774872 7549744 15099488 30198976