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142838752 = 25741103151
BaseRepresentation
bin10001000001110…
…00101111100000
3100221202221221011
420200320233200
5243031320002
622101310304
73353052340
oct1040705740
9327687834
10142838752
11736a0961
123ba05394
1323792494
1414d82d20
15c8178d7
hex8838be0

142838752 has 96 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 58752000.

The previous prime is 142838737. The next prime is 142838753. The reversal of 142838752 is 257838241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142838753) 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 15 ways as a sum of consecutive naturals, for example, 945877 + ... + 946027.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2142838752 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 142838752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

142838752 is an abundant number, since it is smaller than the sum of its proper divisors (191784992).

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

142838752 is a wasteful number, since it uses less digits than its factorization.

142838752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 142838752 is about 11951.5167238305. The cubic root of 142838752 is about 522.7355250225.

The spelling of 142838752 in words is "one hundred forty-two million, eight hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 103 112 151 164 206 224 287 302 328 412 574 604 656 721 824 1057 1148 1208 1312 1442 1648 2114 2296 2416 2884 3296 4223 4228 4592 4832 5768 6191 8446 8456 9184 11536 12382 15553 16892 16912 23072 24764 29561 31106 33784 33824 43337 49528 59122 62212 67568 86674 99056 108871 118244 124424 135136 173348 198112 217742 236488 248848 346696 435484 472976 497696 637673 693392 870968 945952 1275346 1386784 1741936 2550692 3483872 4463711 5101384 8927422 10202768 17854844 20405536 35709688 71419376 142838752