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142748424 = 233271321787
BaseRepresentation
bin10001000001000…
…10101100001000
3100221121101000200
420200202230020
5243020422144
622055332200
73352225110
oct1040425410
9327541020
10142748424
117363a005
123b981060
1323760330
1414d5c040
15c7eac69
hex8822b08

142748424 has 96 divisors (see below), whose sum is σ = 475849920. Its totient is φ = 37646208.

The previous prime is 142748423. The next prime is 142748449. The reversal of 142748424 is 424847241.

It is a super-2 number, since 2×1427484242 = 40754225108967552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142748423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4342 + ... + 17445.

It is an arithmetic number, because the mean of its divisors is an integer number (4956770).

Almost surely, 2142748424 is an apocalyptic number.

142748424 is a gapful number since it is divisible by the number (14) 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 142748424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237924960).

142748424 is an abundant number, since it is smaller than the sum of its proper divisors (333101496).

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

142748424 is a wasteful number, since it uses less digits than its factorization.

142748424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21819 (or 21812 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 142748424 is about 11947.7371916192. The cubic root of 142748424 is about 522.6253130750.

The spelling of 142748424 in words is "one hundred forty-two million, seven hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 21787 43574 65361 87148 130722 152509 174296 196083 261444 283231 305018 392166 457527 522888 566462 610036 784332 849693 915054 1132924 1220072 1372581 1568664 1699386 1830108 1982617 2265848 2549079 2745162 3398772 3660216 3965234 5098158 5490324 5947851 6797544 7930468 10196316 10980648 11895702 15860936 17843553 20392632 23791404 35687106 47582808 71374212 142748424