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142485952 = 2674767101
BaseRepresentation
bin10000111111000…
…10100111000000
3100221010000222111
420133202213000
5242434022302
622045545104
73350052640
oct1037424700
9327100874
10142485952
117347a894
123b875194
132369aa1b
1414cd0520
15c7980d7
hex87e29c0

142485952 has 112 divisors (see below), whose sum is σ = 338254848. Its totient is φ = 58291200.

The previous prime is 142485913. The next prime is 142485953. The reversal of 142485952 is 259584241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142485953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410702 + ... + 1410802.

Almost surely, 2142485952 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 142485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169127424).

142485952 is an abundant number, since it is smaller than the sum of its proper divisors (195768896).

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

142485952 is a wasteful number, since it uses less digits than its factorization.

142485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 142485952 is about 11936.7479658406. The cubic root of 142485952 is about 522.3047989198.

The spelling of 142485952 in words is "one hundred forty-two million, four hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 67 94 101 112 134 188 202 224 268 329 376 404 448 469 536 658 707 752 808 938 1072 1316 1414 1504 1616 1876 2144 2632 2828 3008 3149 3232 3752 4288 4747 5264 5656 6298 6464 6767 7504 9494 10528 11312 12596 13534 15008 18988 21056 22043 22624 25192 27068 30016 33229 37976 44086 45248 47369 50384 54136 66458 75952 88172 94738 100768 108272 132916 151904 176344 189476 201536 216544 265832 303808 318049 352688 378952 433088 531664 636098 705376 757904 1063328 1272196 1410752 1515808 2126656 2226343 2544392 3031616 4452686 5088784 8905372 10177568 17810744 20355136 35621488 71242976 142485952