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235026624 = 2637315641
BaseRepresentation
bin11100000001000…
…11100011000000
3121101020120220210
432000203203000
5440131322444
635153234120
75552456550
oct1600434300
9541216823
10235026624
11110736a88
1266862940
13398cc211
14232dd160
15159777b9
hexe0238c0

235026624 has 112 divisors (see below), whose sum is σ = 733730816. Its totient is φ = 64972800.

The previous prime is 235026607. The next prime is 235026679. The reversal of 235026624 is 426620532.

235026624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 235026591 and 235026600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38844 + ... + 44484.

It is an arithmetic number, because the mean of its divisors is an integer number (6551168).

Almost surely, 2235026624 is an apocalyptic number.

235026624 is a gapful number since it is divisible by the number (24) 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 235026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366865408).

235026624 is an abundant number, since it is smaller than the sum of its proper divisors (498704192).

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

235026624 is a wasteful number, since it uses less digits than its factorization.

235026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 235026624 is about 15330.5780712927. The cubic root of 235026624 is about 617.1238829165.

The spelling of 235026624 in words is "two hundred thirty-five million, twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5641 5952 6944 10416 11282 13888 16923 20832 22564 33846 39487 41664 45128 67692 78974 90256 118461 135384 157948 174871 180512 236922 270768 315896 349742 361024 473844 524613 541536 631792 699484 947688 1049226 1083072 1224097 1263584 1398968 1895376 2098452 2448194 2527168 2797936 3672291 3790752 4196904 4896388 5595872 7344582 7581504 8393808 9792776 11191744 14689164 16787616 19585552 29378328 33575232 39171104 58756656 78342208 117513312 235026624