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149171008 = 2672331467
BaseRepresentation
bin10001110010000…
…10101101000000
3101101200200011011
420321002231000
5301141433013
622445130304
73460634620
oct1071025500
9341620134
10149171008
1177226428
1241b59994
1324b9b78c
1415b50880
15d168c3d
hex8e42b40

149171008 has 112 divisors (see below), whose sum is σ = 365174784. Its totient is φ = 59051520.

The previous prime is 149170963. The next prime is 149171017. The reversal of 149171008 is 800171941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319191 + ... + 319657.

Almost surely, 2149171008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149171008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587392).

149171008 is an abundant number, since it is smaller than the sum of its proper divisors (216003776).

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

149171008 is a wasteful number, since it uses less digits than its factorization.

149171008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 149171008 is about 12213.5583676503. The cubic root of 149171008 is about 530.3486586836.

The spelling of 149171008 in words is "one hundred forty-nine million, one hundred seventy-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 161 184 217 224 248 322 368 434 448 467 496 644 713 736 868 934 992 1288 1426 1472 1736 1868 1984 2576 2852 3269 3472 3736 4991 5152 5704 6538 6944 7472 9982 10304 10741 11408 13076 13888 14477 14944 19964 21482 22816 26152 28954 29888 39928 42964 45632 52304 57908 75187 79856 85928 101339 104608 115816 150374 159712 171856 202678 209216 231632 300748 319424 332971 343712 405356 463264 601496 665942 687424 810712 926528 1202992 1331884 1621424 2330797 2405984 2663768 3242848 4661594 4811968 5327536 6485696 9323188 10655072 18646376 21310144 37292752 74585504 149171008