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30133248 = 210317577
BaseRepresentation
bin111001011110…
…0110000000000
32002200221001020
41302330300000
530203230443
62553505440
7514062015
oct162746000
962627036
1030133248
1116011612
12a112280
136320832
14400570c
1529a3583
hex1cbcc00

30133248 has 88 divisors (see below), whose sum is σ = 85187952. Its totient is φ = 9437184.

The previous prime is 30133217. The next prime is 30133273. The reversal of 30133248 is 84233103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51936 + ... + 52512.

Almost surely, 230133248 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 30133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42593976).

30133248 is an abundant number, since it is smaller than the sum of its proper divisors (55054704).

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

30133248 is a wasteful number, since it uses less digits than its factorization.

30133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30133248 is about 5489.3759208129. The cubic root of 30133248 is about 311.1826073022.

It can be divided in two parts, 30133 and 248, that added together give a triangular number (30381 = T246).

The spelling of 30133248 in words is "thirty million, one hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 577 768 816 1024 1088 1154 1536 1632 1731 2176 2308 3072 3264 3462 4352 4616 6528 6924 8704 9232 9809 13056 13848 17408 18464 19618 26112 27696 29427 36928 39236 52224 55392 58854 73856 78472 110784 117708 147712 156944 221568 235416 295424 313888 443136 470832 590848 627776 886272 941664 1255552 1772544 1883328 2511104 3766656 5022208 7533312 10044416 15066624 30133248