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154156842 = 23272199199
BaseRepresentation
bin10010011000000…
…11111100101010
3101202001222102200
421030003330222
5303431004332
623144041030
73551211600
oct1114037452
9352058380
10154156842
117a021354
1243763176
1325c25c88
141668b870
15d80117c
hex9303f2a

154156842 has 72 divisors (see below), whose sum is σ = 409032000. Its totient is φ = 41722128.

The previous prime is 154156841. The next prime is 154156853. The reversal of 154156842 is 248651451.

It is a happy number.

154156842 is a `hidden beast` number, since 1 + 54 + 1 + 568 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 154156797 and 154156806.

It is not an unprimeable number, because it can be changed into a prime (154156841) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 12159 + ... + 21357.

It is an arithmetic number, because the mean of its divisors is an integer number (5681000).

Almost surely, 2154156842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154156842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204516000).

154156842 is an abundant number, since it is smaller than the sum of its proper divisors (254875158).

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

154156842 is a wasteful number, since it uses less digits than its factorization.

154156842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9230 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 154156842 is about 12415.9913820846. The cubic root of 154156842 is about 536.1927469154.

The spelling of 154156842 in words is "one hundred fifty-four million, one hundred fifty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 9199 16758 18398 27597 55194 64393 82791 128786 165582 174781 193179 349562 386358 450751 524343 579537 901502 1048686 1159074 1223467 1352253 1573029 2446934 2704506 3146058 3670401 4056759 7340802 8113518 8564269 11011203 17128538 22022406 25692807 51385614 77078421 154156842