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30052352 = 212112329
BaseRepresentation
bin111001010100…
…1000000000000
32002112211002002
41302221000000
530143133402
62552043132
7513304121
oct162510000
962484062
1030052352
1115a66860
12a0934a8
1362c2a75
143dc4048
152989602
hex1ca9000

30052352 has 104 divisors (see below), whose sum is σ = 70770240. Its totient is φ = 12615680.

The previous prime is 30052343. The next prime is 30052367. The reversal of 30052352 is 25325003.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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, 1036274 + ... + 1036302.

Almost surely, 230052352 is an apocalyptic number.

30052352 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 30052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35385120).

30052352 is an abundant number, since it is smaller than the sum of its proper divisors (40717888).

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

30052352 is a wasteful number, since it uses less digits than its factorization.

30052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 30052352 is about 5482.0025538119. The cubic root of 30052352 is about 310.9038898227.

Adding to 30052352 its reverse (25325003), we get a palindrome (55377355).

The spelling of 30052352 in words is "thirty million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 64 88 92 116 128 176 184 232 253 256 319 352 368 464 506 512 638 667 704 736 928 1012 1024 1276 1334 1408 1472 1856 2024 2048 2552 2668 2816 2944 3712 4048 4096 5104 5336 5632 5888 7337 7424 8096 10208 10672 11264 11776 14674 14848 16192 20416 21344 22528 23552 29348 29696 32384 40832 42688 45056 47104 58696 59392 64768 81664 85376 94208 117392 118784 129536 163328 170752 234784 259072 326656 341504 469568 518144 653312 683008 939136 1036288 1306624 1366016 1878272 2732032 3756544 7513088 15026176 30052352