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30935552 = 29233771
BaseRepresentation
bin111011000000…
…0101000000000
32011012200121012
41312000220000
530404414202
63023020052
7523643054
oct166005000
964180535
1030935552
111650a37a
12a43a628
136541a7b
144173c64
152ab1152
hex1d80a00

30935552 has 80 divisors (see below), whose sum is σ = 67174272. Its totient is φ = 14192640.

The previous prime is 30935539. The next prime is 30935561. The reversal of 30935552 is 25553903.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435677 + ... + 435747.

Almost surely, 230935552 is an apocalyptic number.

30935552 is a gapful number since it is divisible by the number (32) 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 30935552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33587136).

30935552 is an abundant number, since it is smaller than the sum of its proper divisors (36238720).

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

30935552 is an equidigital number, since it uses as much as digits as its factorization.

30935552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 32.

The square root of 30935552 is about 5561.9737503875. The cubic root of 30935552 is about 313.9202199035.

The spelling of 30935552 in words is "thirty million, nine hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 37 46 64 71 74 92 128 142 148 184 256 284 296 368 512 568 592 736 851 1136 1184 1472 1633 1702 2272 2368 2627 2944 3266 3404 4544 4736 5254 5888 6532 6808 9088 9472 10508 11776 13064 13616 18176 18944 21016 26128 27232 36352 42032 52256 54464 60421 84064 104512 108928 120842 168128 209024 217856 241684 336256 418048 435712 483368 672512 836096 966736 1345024 1933472 3866944 7733888 15467776 30935552