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30895488 = 2732132063
BaseRepresentation
bin111010111011…
…0110110000000
32011010122122100
41311312312000
530402123423
63022110400
7523415211
oct165666600
964118570
1030895488
1116492268
12a41b400
136529770
144163408
152aa4343
hex1d76d80

30895488 has 96 divisors (see below), whose sum is σ = 95790240. Its totient is φ = 9501696.

The previous prime is 30895483. The next prime is 30895493. The reversal of 30895488 is 88459803.

It is an interprime number because it is at equal distance from previous prime (30895483) and next prime (30895493).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30895483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13945 + ... + 16007.

It is an arithmetic number, because the mean of its divisors is an integer number (997815).

Almost surely, 230895488 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 30895488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47895120).

30895488 is an abundant number, since it is smaller than the sum of its proper divisors (64894752).

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

30895488 is a wasteful number, since it uses less digits than its factorization.

30895488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 30895488 is about 5558.3709843802. The cubic root of 30895488 is about 313.7846441430.

The spelling of 30895488 in words is "thirty million, eight hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2063 2496 3744 4126 4992 6189 7488 8252 12378 14976 16504 18567 24756 26819 33008 37134 49512 53638 66016 74268 80457 99024 107276 132032 148536 160914 198048 214552 241371 264064 297072 321828 396096 429104 482742 594144 643656 792192 858208 965484 1188288 1287312 1716416 1930968 2376576 2574624 3432832 3861936 5149248 7723872 10298496 15447744 30895488