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142472448 = 283261837
BaseRepresentation
bin10000111110111…
…11010100000000
3100221002100110100
420133133110000
5242433104243
622045402400
73346665366
oct1037372400
9327070410
10142472448
1173470728
123b869400
1323694831
1414cc9636
15c7940d3
hex87df500

142472448 has 54 divisors (see below), whose sum is σ = 410789834. Its totient is φ = 47490048.

The previous prime is 142472443. The next prime is 142472489. The reversal of 142472448 is 844274241.

142472448 is a `hidden beast` number, since 142 + 4 + 72 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112529664 + 29942784 = 10608^2 + 5472^2 .

It is a super-2 number, since 2×1424724482 = 40596796878225408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142472443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28615 + ... + 33222.

Almost surely, 2142472448 is an apocalyptic number.

142472448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142472448 is an abundant number, since it is smaller than the sum of its proper divisors (268317386).

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

142472448 is an equidigital number, since it uses as much as digits as its factorization.

142472448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61859 (or 61842 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 142472448 is about 11936.1823042378. The cubic root of 142472448 is about 522.2882980490.

The spelling of 142472448 in words is "one hundred forty-two million, four hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 61837 123674 185511 247348 371022 494696 556533 742044 989392 1113066 1484088 1978784 2226132 2968176 3957568 4452264 5936352 7915136 8904528 11872704 15830272 17809056 23745408 35618112 47490816 71236224 142472448