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1423026432 = 28321932507
BaseRepresentation
bin101010011010001…
…1010100100000000
310200011200020021200
41110310122210000
510403243321212
6353112221200
750156345052
oct12464324400
93604606250
101423026432
11670296903
1233869a800
13198a81599
14d6dc78d2
1584de26dc
hex54d1a900

1423026432 has 108 divisors (see below), whose sum is σ = 4319012880. Its totient is φ = 449362944.

The previous prime is 1423026427. The next prime is 1423026439. The reversal of 1423026432 is 2346203241.

1423026432 is a `hidden beast` number, since 14 + 2 + 3 + 0 + 2 + 643 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1423026396 and 1423026405.

It is not an unprimeable number, because it can be changed into a prime (1423026439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27523 + ... + 60029.

It is an arithmetic number, because the mean of its divisors is an integer number (39990860).

Almost surely, 21423026432 is an apocalyptic number.

1423026432 is a gapful number since it is divisible by the number (12) 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 1423026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159506440).

1423026432 is an abundant number, since it is smaller than the sum of its proper divisors (2895986448).

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

1423026432 is a wasteful number, since it uses less digits than its factorization.

1423026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32548 (or 32531 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1423026432 is about 37723.0225724292. The cubic root of 1423026432 is about 1124.7888148773.

Adding to 1423026432 its reverse (2346203241), we get a palindrome (3769229673).

The spelling of 1423026432 in words is "one billion, four hundred twenty-three million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 32507 43776 65014 97521 130028 195042 260056 292563 390084 520112 585126 617633 780168 1040224 1170252 1235266 1560336 1852899 2080448 2340504 2470532 3120672 3705798 4160896 4681008 4941064 5558697 6241344 7411596 8321792 9362016 9882128 11117394 12482688 14823192 18724032 19764256 22234788 24965376 29646384 37448064 39528512 44469576 59292768 74896128 79057024 88939152 118585536 158114048 177878304 237171072 355756608 474342144 711513216 1423026432