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30446052 = 2237313569
BaseRepresentation
bin111010000100…
…1000111100100
32010021211010120
41310021013210
530243233202
63004321540
7516534000
oct164110744
963254116
1030446052
111620562a
12a2432b0
136400020
144087700
152a160bc
hex1d091e4

30446052 has 96 divisors (see below), whose sum is σ = 89376000. Its totient is φ = 8015616.

The previous prime is 30446041. The next prime is 30446057. The reversal of 30446052 is 25064403.

It is not an unprimeable number, because it can be changed into a prime (30446057) 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 31 ways as a sum of consecutive naturals, for example, 53224 + ... + 53792.

It is an arithmetic number, because the mean of its divisors is an integer number (931000).

Almost surely, 230446052 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 30446052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44688000).

30446052 is an abundant number, since it is smaller than the sum of its proper divisors (58929948).

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

30446052 is a wasteful number, since it uses less digits than its factorization.

30446052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 30446052 is about 5517.7941244668. The cubic root of 30446052 is about 312.2556665068.

The spelling of 30446052 in words is "thirty million, four hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 569 588 637 686 1029 1092 1138 1274 1372 1707 1911 2058 2276 2548 3414 3822 3983 4116 4459 6828 7397 7644 7966 8918 11949 13377 14794 15932 17836 22191 23898 26754 27881 29588 44382 47796 51779 53508 55762 83643 88764 103558 111524 155337 167286 195167 207116 310674 334572 362453 390334 585501 621348 724906 780668 1087359 1171002 1449812 2174718 2342004 2537171 4349436 5074342 7611513 10148684 15223026 30446052