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30026688 = 263198231
BaseRepresentation
bin111001010001…
…0101111000000
32002111111212120
41302202233000
530141323223
62551324240
7513136236
oct162425700
962444776
1030026688
1115a4954a
12a080680
1362b4193
143db8956
152981be3
hex1ca2bc0

30026688 has 56 divisors (see below), whose sum is σ = 83637120. Its totient is φ = 9480960.

The previous prime is 30026683. The next prime is 30026761. The reversal of 30026688 is 88662003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30026683) by changing a digit.

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, 468 + ... + 7763.

It is an arithmetic number, because the mean of its divisors is an integer number (1493520).

Almost surely, 230026688 is an apocalyptic number.

30026688 is a gapful number since it is divisible by the number (38) 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 30026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41818560).

30026688 is an abundant number, since it is smaller than the sum of its proper divisors (53610432).

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

30026688 is a wasteful number, since it uses less digits than its factorization.

30026688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 30026688 is about 5479.6613034019. The cubic root of 30026688 is about 310.8153630876.

The spelling of 30026688 in words is "thirty million, twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 8231 16462 24693 32924 49386 65848 98772 131696 156389 197544 263392 312778 395088 469167 526784 625556 790176 938334 1251112 1580352 1876668 2502224 3753336 5004448 7506672 10008896 15013344 30026688