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142932744 = 233219163641
BaseRepresentation
bin10001000010011…
…11101100001000
3100221221201212100
420201033230020
5243042321434
622103313400
73353623353
oct1041175410
9327851770
10142932744
1173755539
123ba4b860
13237c61b6
1414da929a
15c835699
hex884fb08

142932744 has 96 divisors (see below), whose sum is σ = 410623200. Its totient is φ = 44789760.

The previous prime is 142932743. The next prime is 142932761. The reversal of 142932744 is 447239241.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 142932699 and 142932708.

It is not an unprimeable number, because it can be changed into a prime (142932743) 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 23 ways as a sum of consecutive naturals, for example, 222664 + ... + 223304.

It is an arithmetic number, because the mean of its divisors is an integer number (4277325).

Almost surely, 2142932744 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 142932744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205311600).

142932744 is an abundant number, since it is smaller than the sum of its proper divisors (267690456).

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

142932744 is a wasteful number, since it uses less digits than its factorization.

142932744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 142932744 is about 11955.4482977427. The cubic root of 142932744 is about 522.8501582103.

The spelling of 142932744 in words is "one hundred forty-two million, nine hundred thirty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 163 171 228 326 342 456 489 641 652 684 978 1282 1304 1368 1467 1923 1956 2564 2934 3097 3846 3912 5128 5769 5868 6194 7692 9291 11538 11736 12179 12388 15384 18582 23076 24358 24776 27873 36537 37164 46152 48716 55746 73074 74328 97432 104483 109611 111492 146148 208966 219222 222984 292296 313449 417932 438444 626898 835864 876888 940347 1253796 1880694 1985177 2507592 3761388 3970354 5955531 7522776 7940708 11911062 15881416 17866593 23822124 35733186 47644248 71466372 142932744