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30031248 = 243131719149
BaseRepresentation
bin111001010001…
…1110110010000
32002111202010110
41302203312100
530141444443
62551401320
7513155442
oct162436620
962452113
1030031248
1115a51a15
12a083240
1362b6290
143dba492
152983233
hex1ca3d90

30031248 has 160 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 8183808.

The previous prime is 30031247. The next prime is 30031249. The reversal of 30031248 is 84213003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30031247) and next prime (30031249).

It is not an unprimeable number, because it can be changed into a prime (30031247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201478 + ... + 201626.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 230031248 is an apocalyptic number.

30031248 is a gapful number since it is divisible by the number (38) 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 30031248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

30031248 is an abundant number, since it is smaller than the sum of its proper divisors (63712752).

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

30031248 is a wasteful number, since it uses less digits than its factorization.

30031248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30031248 is about 5480.0773717166. The cubic root of 30031248 is about 310.8310962726.

The spelling of 30031248 in words is "thirty million, thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 149 152 156 204 208 221 228 247 272 298 304 312 323 408 442 447 456 494 596 624 646 663 741 816 884 894 912 969 988 1192 1292 1326 1482 1768 1788 1937 1938 1976 2384 2533 2584 2652 2831 2964 3536 3576 3874 3876 3952 4199 5066 5168 5304 5662 5811 5928 7152 7599 7748 7752 8398 8493 10132 10608 11324 11622 11856 12597 15198 15496 15504 16796 16986 20264 22648 23244 25194 30396 30992 32929 33592 33972 36803 40528 45296 46488 48127 50388 60792 65858 67184 67944 73606 92976 96254 98787 100776 110409 121584 131716 135888 144381 147212 192508 197574 201552 220818 263432 288762 294424 385016 395148 441636 526864 577524 588848 625651 770032 790296 883272 1155048 1251302 1580592 1766544 1876953 2310096 2502604 3753906 5005208 7507812 10010416 15015624 30031248