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142485552 = 243211233911
BaseRepresentation
bin10000111111000…
…10100000110000
3100221010000102200
420133202200300
5242434014202
622045543200
73350051526
oct1037424060
9327100380
10142485552
117347a560
123b874b00
132369a7a1
1414cd0316
15c797e1c
hex87e2830

142485552 has 120 divisors (see below), whose sum is σ = 454042368. Its totient is φ = 41289600.

The previous prime is 142485547. The next prime is 142485589. The reversal of 142485552 is 255584241.

142485552 is a `hidden beast` number, since 1 + 4 + 24 + 85 + 552 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34477 + ... + 38387.

Almost surely, 2142485552 is an apocalyptic number.

142485552 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 142485552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227021184).

142485552 is an abundant number, since it is smaller than the sum of its proper divisors (311556816).

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

142485552 is a wasteful number, since it uses less digits than its factorization.

142485552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3950 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 142485552 is about 11936.7312108466. The cubic root of 142485552 is about 522.3043101649.

The spelling of 142485552 in words is "one hundred forty-two million, four hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 3911 4048 4554 6072 7822 9108 11733 12144 15644 18216 23466 31288 35199 36432 43021 46932 62576 70398 86042 89953 93864 129063 140796 172084 179906 187728 258126 269859 281592 344168 359812 387189 516252 539718 563184 688336 719624 774378 809577 989483 1032504 1079436 1439248 1548756 1619154 1978966 2065008 2158872 2968449 3097512 3238308 3957932 4317744 5936898 6195024 6476616 7915864 8905347 11873796 12953232 15831728 17810694 23747592 35621388 47495184 71242776 142485552