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163196928 = 2123219233
BaseRepresentation
bin10011011101000…
…11000000000000
3102101002021002200
421232203000000
5313234300203
624105513200
74021102536
oct1156430000
9371067080
10163196928
11841362a4
12467a2800
1327a6c93b
1417962156
15e4d99a3
hex9ba3000

163196928 has 156 divisors (see below), whose sum is σ = 498340440. Its totient is φ = 51314688.

The previous prime is 163196921. The next prime is 163196953. The reversal of 163196928 is 829691361.

It is a happy number.

163196928 is a `hidden beast` number, since 1 + 631 + 9 + 6 + 9 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (163196921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700300 + ... + 700532.

It is an arithmetic number, because the mean of its divisors is an integer number (3194490).

Almost surely, 2163196928 is an apocalyptic number.

163196928 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 163196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249170220).

163196928 is an abundant number, since it is smaller than the sum of its proper divisors (335143512).

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

163196928 is a wasteful number, since it uses less digits than its factorization.

163196928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 163196928 is about 12774.8553025073. The cubic root of 163196928 is about 546.4754543103.

It can be divided in two parts, 16 and 3196928, that added together give a square (3196944 = 17882).

The spelling of 163196928 in words is "one hundred sixty-three million, one hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 233 256 288 304 342 384 456 466 512 576 608 684 699 768 912 932 1024 1152 1216 1368 1398 1536 1824 1864 2048 2097 2304 2432 2736 2796 3072 3648 3728 4096 4194 4427 4608 4864 5472 5592 6144 7296 7456 8388 8854 9216 9728 10944 11184 12288 13281 14592 14912 16776 17708 18432 19456 21888 22368 26562 29184 29824 33552 35416 36864 38912 39843 43776 44736 53124 58368 59648 67104 70832 77824 79686 87552 89472 106248 116736 119296 134208 141664 159372 175104 178944 212496 233472 238592 268416 283328 318744 350208 357888 424992 477184 536832 566656 637488 700416 715776 849984 954368 1073664 1133312 1274976 1431552 1699968 2147328 2266624 2549952 2863104 3399936 4294656 4533248 5099904 6799872 8589312 9066496 10199808 13599744 18132992 20399616 27199488 40799232 54398976 81598464 163196928