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235473024 = 27331131151
BaseRepresentation
bin11100000100100…
…00100010000000
3121102002021021010
432002100202000
5440240114044
635211000520
75556326163
oct1602204200
9542067233
10235473024
11110a11406
1266a39140
1339a27467
14233b7ada
1515a14bb9
hexe090880

235473024 has 128 divisors (see below), whose sum is σ = 654888960. Its totient is φ = 74880000.

The previous prime is 235473019. The next prime is 235473037. The reversal of 235473024 is 420374532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 235472982 and 235473000.

It is a congruent number.

It is an unprimeable number.

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, 1559349 + ... + 1559499.

It is an arithmetic number, because the mean of its divisors is an integer number (5116320).

Almost surely, 2235473024 is an apocalyptic number.

235473024 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 235473024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327444480).

235473024 is an abundant number, since it is smaller than the sum of its proper divisors (419415936).

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

235473024 is a wasteful number, since it uses less digits than its factorization.

235473024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 235473024 is about 15345.1303024771. The cubic root of 235473024 is about 617.5143491341.

The spelling of 235473024 in words is "two hundred thirty-five million, four hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 131 151 186 192 248 262 302 372 384 393 453 496 524 604 744 786 906 992 1048 1208 1488 1572 1812 1984 2096 2416 2976 3144 3624 3968 4061 4192 4681 4832 5952 6288 7248 8122 8384 9362 9664 11904 12183 12576 14043 14496 16244 16768 18724 19328 19781 24366 25152 28086 28992 32488 37448 39562 48732 50304 56172 57984 59343 64976 74896 79124 97464 112344 118686 129952 149792 158248 194928 224688 237372 259904 299584 316496 389856 449376 474744 519808 599168 613211 632992 779712 898752 949488 1226422 1265984 1559424 1797504 1839633 1898976 2452844 2531968 3679266 3797952 4905688 7358532 7595904 9811376 14717064 19622752 29434128 39245504 58868256 78491008 117736512 235473024