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161149408 = 25723311009
BaseRepresentation
bin10011001101011…
…11000111100000
3102020020020102121
421212233013200
5312223240113
623553554024
73664514230
oct1146570740
9366206377
10161149408
1182a67a32
1245b75914
13275039a4
141758bcc0
15e232e8d
hex99af1e0

161149408 has 96 divisors (see below), whose sum is σ = 390942720. Its totient is φ = 63866880.

The previous prime is 161149399. The next prime is 161149427. The reversal of 161149408 is 804941161.

161149408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 159208 + ... + 160216.

It is an arithmetic number, because the mean of its divisors is an integer number (4072320).

Almost surely, 2161149408 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 161149408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195471360).

161149408 is an abundant number, since it is smaller than the sum of its proper divisors (229793312).

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

161149408 is a wasteful number, since it uses less digits than its factorization.

161149408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 161149408 is about 12694.4636751617. The cubic root of 161149408 is about 544.1804116151.

The spelling of 161149408 in words is "one hundred sixty-one million, one hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 644 713 736 868 992 1009 1288 1426 1736 2018 2576 2852 3472 4036 4991 5152 5704 6944 7063 8072 9982 11408 14126 16144 19964 22816 23207 28252 31279 32288 39928 46414 56504 62558 79856 92828 113008 125116 159712 162449 185656 218953 226016 250232 324898 371312 437906 500464 649796 719417 742624 875812 1000928 1299592 1438834 1751624 2599184 2877668 3503248 5035919 5198368 5755336 7006496 10071838 11510672 20143676 23021344 40287352 80574704 161149408