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30421248 = 2831113277
BaseRepresentation
bin111010000001…
…1000100000000
32010020120002220
41310003010000
530241434443
63004011040
7516401454
oct164030400
963216086
1030421248
1116198a30
12a230a80
1363c1950
14407c664
152a0da83
hex1d03100

30421248 has 144 divisors (see below), whose sum is σ = 95462976. Its totient is φ = 8478720.

The previous prime is 30421247. The next prime is 30421271. The reversal of 30421248 is 84212403.

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

It is not an unprimeable number, because it can be changed into a prime (30421247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109686 + ... + 109962.

Almost surely, 230421248 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 30421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47731488).

30421248 is an abundant number, since it is smaller than the sum of its proper divisors (65041728).

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

30421248 is a wasteful number, since it uses less digits than its factorization.

30421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 30421248 is about 5515.5460291797. The cubic root of 30421248 is about 312.1708466008.

It can be divided in two parts, 3042 and 1248, that multiplied together give a cube (3796416 = 1563).

The spelling of 30421248 in words is "thirty million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 277 286 312 352 384 416 429 528 554 572 624 704 768 831 832 858 1056 1108 1144 1248 1408 1662 1664 1716 2112 2216 2288 2496 2816 3047 3324 3328 3432 3601 4224 4432 4576 4992 6094 6648 6864 7202 8448 8864 9141 9152 9984 10803 12188 13296 13728 14404 17728 18282 18304 21606 24376 26592 27456 28808 35456 36564 36608 39611 43212 48752 53184 54912 57616 70912 73128 79222 86424 97504 106368 109824 115232 118833 146256 158444 172848 195008 212736 230464 237666 292512 316888 345696 390016 460928 475332 585024 633776 691392 780032 921856 950664 1170048 1267552 1382784 1901328 2340096 2535104 2765568 3802656 5070208 7605312 10140416 15210624 30421248