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148512042 = 2347253353
BaseRepresentation
bin10001101101000…
…01110100101010
3101100110012020000
420312201310222
5301004341132
622423043430
73452221500
oct1066416452
9340405200
10148512042
1176916328
12418a0576
13249ca863
1415a1c670
15d08887c
hex8da1d2a

148512042 has 120 divisors (see below), whose sum is σ = 395529156. Its totient is φ = 41513472.

The previous prime is 148512029. The next prime is 148512053. The reversal of 148512042 is 240215841.

148512042 is a `hidden beast` number, since 148 + 512 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147841281 + 670761 = 12159^2 + 819^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 148511997 and 148512015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420538 + ... + 420890.

Almost surely, 2148512042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148512042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197764578).

148512042 is an abundant number, since it is smaller than the sum of its proper divisors (247017114).

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

148512042 is a wasteful number, since it uses less digits than its factorization.

148512042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 148512042 is about 12186.5516861826. The cubic root of 148512042 is about 529.5665638698.

Adding to 148512042 its reverse (240215841), we get a palindrome (388727883).

The spelling of 148512042 in words is "one hundred forty-eight million, five hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 81 98 106 126 147 159 162 189 294 318 353 371 378 441 477 567 706 742 882 954 1059 1113 1134 1323 1431 2118 2226 2471 2597 2646 2862 3177 3339 3969 4293 4942 5194 6354 6678 7413 7791 7938 8586 9531 10017 14826 15582 17297 18709 19062 20034 22239 23373 28593 30051 34594 37418 44478 46746 51891 56127 57186 60102 66717 70119 103782 112254 130963 133434 140238 155673 168381 200151 210357 261926 311346 336762 392889 400302 420714 467019 505143 785778 916741 934038 1010286 1178667 1401057 1515429 1833482 2357334 2750223 2802114 3030858 3536001 5500446 7072002 8250669 10608003 16501338 21216006 24752007 49504014 74256021 148512042