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145429056 = 2632252481
BaseRepresentation
bin10001010101100…
…01001001000000
3101010122120011100
420222301021000
5244212212211
622233014400
73414061263
oct1052611100
9333576140
10145429056
1175100003
1240854400
132418b4c6
1415458cda
15cb7a156
hex8ab1240

145429056 has 42 divisors (see below), whose sum is σ = 416847782. Its totient is φ = 48476160.

The previous prime is 145429051. The next prime is 145429057. The reversal of 145429056 is 650924541.

It can be written as a sum of positive squares in only one way, i.e., 134931456 + 10497600 = 11616^2 + 3240^2 .

It is a super-2 number, since 2×1454290562 = 42299220658102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145429056.

It is not an unprimeable number, because it can be changed into a prime (145429051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125665 + ... + 126816.

Almost surely, 2145429056 is an apocalyptic number.

145429056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145429056 is an abundant number, since it is smaller than the sum of its proper divisors (271418726).

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

145429056 is a wasteful number, since it uses less digits than its factorization.

145429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252499 (or 252486 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 145429056 is about 12059.3969998504. The cubic root of 145429056 is about 525.8764570799.

It can be divided in two parts, 145 and 429056, that added together give a triangular number (429201 = T926).

The spelling of 145429056 in words is "one hundred forty-five million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 252481 504962 757443 1009924 1514886 2019848 2272329 3029772 4039696 4544658 6059544 8079392 9089316 12119088 16158784 18178632 24238176 36357264 48476352 72714528 145429056