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149161608 = 23334116843
BaseRepresentation
bin10001110010000…
…00011010001000
3101101200012021000
420321000122020
5301141132413
622445015000
73460565331
oct1071003210
9341605230
10149161608
117721a362
1241b54460
1324b9740b
1415b4b288
15d166073
hex8e40688

149161608 has 64 divisors (see below), whose sum is σ = 424468800. Its totient is φ = 48504960.

The previous prime is 149161603. The next prime is 149161619. The reversal of 149161608 is 806161941.

It is a happy number.

149161608 is a `hidden beast` number, since 1 + 49 + 1 + 6 + 1 + 608 = 666.

It is a super-2 number, since 2×1491616082 = 44498370602291328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (149161603) 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, 435 + ... + 17277.

It is an arithmetic number, because the mean of its divisors is an integer number (6632325).

Almost surely, 2149161608 is an apocalyptic number.

149161608 is a gapful number since it is divisible by the number (18) 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 149161608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212234400).

149161608 is an abundant number, since it is smaller than the sum of its proper divisors (275307192).

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

149161608 is a wasteful number, since it uses less digits than its factorization.

149161608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899 (or 16889 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149161608 is about 12213.1735433506. The cubic root of 149161608 is about 530.3375184891.

It can be divided in two parts, 149161 and 608, that added together give a square (149769 = 3872).

The spelling of 149161608 in words is "one hundred forty-nine million, one hundred sixty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 16843 33686 50529 67372 101058 134744 151587 202116 303174 404232 454761 606348 690563 909522 1212696 1381126 1819044 2071689 2762252 3638088 4143378 5524504 6215067 8286756 12430134 16573512 18645201 24860268 37290402 49720536 74580804 149161608