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30825216 = 283217787
BaseRepresentation
bin111010110010…
…1101100000000
32011000002020200
41311211230000
530342401331
63020405200
7523003302
oct165455400
964002220
1030825216
1116444494
12a3a6800
136503796
144145972
152a8d5e6
hex1d65b00

30825216 has 108 divisors (see below), whose sum is σ = 94224312. Its totient is φ = 9658368.

The previous prime is 30825211. The next prime is 30825229. The reversal of 30825216 is 61252803.

It is a self number, because there is not a number n which added to its sum of digits gives 30825216.

It is not an unprimeable number, because it can be changed into a prime (30825211) 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 11 ways as a sum of consecutive naturals, for example, 38775 + ... + 39561.

Almost surely, 230825216 is an apocalyptic number.

30825216 is a gapful number since it is divisible by the number (36) 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 30825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47112156).

30825216 is an abundant number, since it is smaller than the sum of its proper divisors (63399096).

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

30825216 is a wasteful number, since it uses less digits than its factorization.

30825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30825216 is about 5552.0461093186. The cubic root of 30825216 is about 313.5465617678.

The spelling of 30825216 in words is "thirty million, eight hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 787 816 1088 1152 1224 1574 1632 2176 2304 2361 2448 3148 3264 4352 4722 4896 6296 6528 7083 9444 9792 12592 13056 13379 14166 18888 19584 25184 26758 28332 37776 39168 40137 50368 53516 56664 75552 80274 100736 107032 113328 120411 151104 160548 201472 214064 226656 240822 302208 321096 428128 453312 481644 604416 642192 856256 906624 963288 1284384 1712512 1813248 1926576 2568768 3425024 3853152 5137536 7706304 10275072 15412608 30825216