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30593024 = 21271197
BaseRepresentation
bin111010010110…
…1000000000000
32010120021201222
41310231000000
530312434044
63011414212
7521015330
oct164550000
963507658
1030593024
11162a5aa0
12a2b4368
136451ba7
1440c50c0
152a448ee
hex1d2d000

30593024 has 104 divisors (see below), whose sum is σ = 77060928. Its totient is φ = 11796480.

The previous prime is 30592997. The next prime is 30593027. The reversal of 30593024 is 42039503.

It is a junction number, because it is equal to n+sod(n) for n = 30592984 and 30593002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30593027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315344 + ... + 315440.

Almost surely, 230593024 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 30593024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38530464).

30593024 is an abundant number, since it is smaller than the sum of its proper divisors (46467904).

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

30593024 is an equidigital number, since it uses as much as digits as its factorization.

30593024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 30593024 is about 5531.0960939040. The cubic root of 30593024 is about 312.7573099949.

The spelling of 30593024 in words is "thirty million, five hundred ninety-three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 256 308 352 388 448 512 616 679 704 776 896 1024 1067 1232 1358 1408 1552 1792 2048 2134 2464 2716 2816 3104 3584 4096 4268 4928 5432 5632 6208 7168 7469 8536 9856 10864 11264 12416 14336 14938 17072 19712 21728 22528 24832 28672 29876 34144 39424 43456 45056 49664 59752 68288 78848 86912 99328 119504 136576 157696 173824 198656 239008 273152 315392 347648 397312 478016 546304 695296 956032 1092608 1390592 1912064 2185216 2781184 3824128 4370432 7648256 15296512 30593024