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145251432 = 23324742923
BaseRepresentation
bin10001010100001…
…01110001101000
3101010022112111200
420222011301220
5244141021212
622225124200
73412421364
oct1052056150
9333275450
10145251432
1174a99607
1240789660
13241286c1
14154102a4
15cb426dc
hex8a85c68

145251432 has 48 divisors (see below), whose sum is σ = 401768640. Its totient is φ = 47385888.

The previous prime is 145251427. The next prime is 145251439. The reversal of 145251432 is 234152541.

145251432 is a `hidden beast` number, since 145 + 2 + 514 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145251396 and 145251405.

It is not an unprimeable number, because it can be changed into a prime (145251439) 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, 18078 + ... + 24845.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2145251432 is an apocalyptic number.

145251432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145251432 is an abundant number, since it is smaller than the sum of its proper divisors (256517208).

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

145251432 is a wasteful number, since it uses less digits than its factorization.

145251432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42982 (or 42975 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 145251432 is about 12052.0302024182. The cubic root of 145251432 is about 525.6622716959.

The spelling of 145251432 in words is "one hundred forty-five million, two hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 42923 85846 128769 171692 257538 343384 386307 515076 772614 1030152 1545228 2017381 3090456 4034762 6052143 8069524 12104286 16139048 18156429 24208572 36312858 48417144 72625716 145251432