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163044252 = 2235731773
BaseRepresentation
bin10011011011111…
…01101110011100
3102100210111200000
421231331232130
5313214404002
624102334300
74016565450
oct1155755634
9370714600
10163044252
1184041618
124672a390
1327a182b7
1417922660
15e4a961c
hex9b7db9c

163044252 has 144 divisors (see below), whose sum is σ = 504870912. Its totient is φ = 45023040.

The previous prime is 163044241. The next prime is 163044253. The reversal of 163044252 is 252440361.

163044252 is a `hidden beast` number, since 1 + 630 + 4 + 4 + 25 + 2 = 666.

It is a super-2 number, since 2×1630442522 = 53166856220479008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163044253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210538 + ... + 211310.

It is an arithmetic number, because the mean of its divisors is an integer number (3506048).

Almost surely, 2163044252 is an apocalyptic number.

163044252 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 163044252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252435456).

163044252 is an abundant number, since it is smaller than the sum of its proper divisors (341826660).

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

163044252 is a wasteful number, since it uses less digits than its factorization.

163044252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 163044252 is about 12768.8782592677. The cubic root of 163044252 is about 546.3049859906.

The spelling of 163044252 in words is "one hundred sixty-three million, forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 651 756 773 837 868 972 1116 1134 1302 1546 1674 1701 1953 2268 2319 2511 2604 3092 3348 3402 3906 4638 5022 5411 5859 6804 6957 7533 7812 9276 10044 10822 11718 13914 15066 16233 17577 20871 21644 23436 23963 27828 30132 32466 35154 41742 47926 48699 52731 62613 64932 70308 71889 83484 95852 97398 105462 125226 143778 146097 167741 187839 194796 210924 215667 250452 287556 292194 335482 375678 431334 438291 503223 584388 647001 670964 751356 862668 876582 1006446 1294002 1314873 1509669 1753164 1941003 2012892 2588004 2629746 3019338 3882006 4529007 5259492 5823009 6038676 7764012 9058014 11646018 13587021 18116028 23292036 27174042 40761063 54348084 81522126 163044252