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142648452 = 22343971109
BaseRepresentation
bin10001000000010…
…10010010000100
3100221102021220000
420200022102010
5243004222302
622053241300
73351330462
oct1040122204
9327367800
10142648452
1173580991
123b933230
132372698b
1414d33832
15c7cb31c
hex880a484

142648452 has 60 divisors (see below), whose sum is σ = 374187660. Its totient is φ = 47386944.

The previous prime is 142648433. The next prime is 142648463. The reversal of 142648452 is 254846241.

142648452 is a `hidden beast` number, since 1 + 4 + 2 + 648 + 4 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 104530176 = 6174^2 + 10224^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 128074 + ... + 129182.

It is an arithmetic number, because the mean of its divisors is an integer number (6236461).

Almost surely, 2142648452 is an apocalyptic number.

142648452 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 142648452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187093830).

142648452 is an abundant number, since it is smaller than the sum of its proper divisors (231539208).

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

142648452 is a wasteful number, since it uses less digits than its factorization.

142648452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 142648452 is about 11943.5527377745. The cubic root of 142648452 is about 522.5032799715.

The spelling of 142648452 in words is "one hundred forty-two million, six hundred forty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 397 794 1109 1191 1588 2218 2382 3327 3573 4436 4764 6654 7146 9981 10719 13308 14292 19962 21438 29943 32157 39924 42876 59886 64314 89829 119772 128628 179658 359316 440273 880546 1320819 1761092 2641638 3962457 5283276 7924914 11887371 15849828 23774742 35662113 47549484 71324226 142648452