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161916552 = 233273111033
BaseRepresentation
bin10011010011010…
…10011010001000
3102021200012202100
421221222122020
5312422312202
624022233400
74004160630
oct1151523210
9367605670
10161916552
1183441336
1246285860
1327711c15
141770b6c0
15e33541c
hex9a6a688

161916552 has 96 divisors (see below), whose sum is σ = 503268480. Its totient is φ = 46068480.

The previous prime is 161916533. The next prime is 161916553. The reversal of 161916552 is 255619161.

161916552 is a `hidden beast` number, since 16 + 1 + 91 + 6 + 552 = 666.

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 (161916553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156228 + ... + 157260.

It is an arithmetic number, because the mean of its divisors is an integer number (5242380).

Almost surely, 2161916552 is an apocalyptic number.

161916552 is a gapful number since it is divisible by the number (12) 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 161916552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251634240).

161916552 is an abundant number, since it is smaller than the sum of its proper divisors (341351928).

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

161916552 is a wasteful number, since it uses less digits than its factorization.

161916552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 161916552 is about 12724.6434920590. The cubic root of 161916552 is about 545.0425598725.

The spelling of 161916552 in words is "one hundred sixty-one million, nine hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 311 504 622 933 1033 1244 1866 2066 2177 2488 2799 3099 3732 4132 4354 5598 6198 6531 7231 7464 8264 8708 9297 11196 12396 13062 14462 17416 18594 19593 21693 22392 24792 26124 28924 37188 39186 43386 52248 57848 65079 74376 78372 86772 130158 156744 173544 260316 321263 520632 642526 963789 1285052 1927578 2248841 2570104 2891367 3855156 4497682 5782734 6746523 7710312 8995364 11565468 13493046 17990728 20239569 23130936 26986092 40479138 53972184 80958276 161916552