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142457152 = 2631591217
BaseRepresentation
bin10000111110110…
…11100101000000
3100221001120110211
420133123211000
5242432112102
622045203504
73346602655
oct1037334500
9327046424
10142457152
1173460192
123b860594
132368a896
1414cc3c2c
15c78e7d7
hex87db940

142457152 has 56 divisors (see below), whose sum is σ = 296997120. Its totient is φ = 67706880.

The previous prime is 142457149. The next prime is 142457171. The reversal of 142457152 is 251754241.

It is a super-2 number, since 2×1424571522 = 40588080311902208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 116448 + ... + 117664.

It is an arithmetic number, because the mean of its divisors is an integer number (5303520).

Almost surely, 2142457152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148498560).

142457152 is an abundant number, since it is smaller than the sum of its proper divisors (154539968).

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

142457152 is a wasteful number, since it uses less digits than its factorization.

142457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its digits is 11200, while the sum is 31.

The square root of 142457152 is about 11935.5415461553. The cubic root of 142457152 is about 522.2696062298.

The spelling of 142457152 in words is "one hundred forty-two million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 236 248 472 496 944 992 1217 1829 1888 1984 2434 3658 3776 4868 7316 9736 14632 19472 29264 37727 38944 58528 71803 75454 77888 117056 143606 150908 287212 301816 574424 603632 1148848 1207264 2225893 2297696 2414528 4451786 4595392 8903572 17807144 35614288 71228576 142457152