Search a number
-
+
170427648 = 28353279
BaseRepresentation
bin10100010100010…
…00010100000000
3102212200121210010
422022020110000
5322112141043
624524504520
74136416416
oct1212102400
9385617703
10170427648
11882248a6
12490ab140
1329401b81
14188c52b6
15ee67133
hexa288500

170427648 has 108 divisors (see below), whose sum is σ = 468157760. Its totient is φ = 55031808.

The previous prime is 170427643. The next prime is 170427659. The reversal of 170427648 is 846724071.

170427648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170427641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2157273 + ... + 2157351.

Almost surely, 2170427648 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 170427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234078880).

170427648 is an abundant number, since it is smaller than the sum of its proper divisors (297730112).

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

170427648 is an frugal number, since it uses more digits than its factorization.

170427648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 170427648 is about 13054.7940619529. The cubic root of 170427648 is about 554.4299511772.

The spelling of 170427648 in words is "one hundred seventy million, four hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 79 96 106 128 158 159 192 212 237 256 316 318 384 424 474 632 636 768 848 948 1264 1272 1696 1896 2528 2544 2809 3392 3792 4187 5056 5088 5618 6784 7584 8374 8427 10112 10176 11236 12561 13568 15168 16748 16854 20224 20352 22472 25122 30336 33496 33708 40704 44944 50244 60672 66992 67416 89888 100488 133984 134832 179776 200976 221911 267968 269664 359552 401952 443822 535936 539328 665733 719104 803904 887644 1071872 1078656 1331466 1607808 1775288 2157312 2662932 3215616 3550576 5325864 7101152 10651728 14202304 21303456 28404608 42606912 56809216 85213824 170427648