[go: up one dir, main page]

Search a number
-
+
172412928 = 212331559
BaseRepresentation
bin10100100011011…
…01000000000000
3110000102111002000
422101231000000
5323114203203
625035224000
74162325412
oct1221550000
9400374060
10172412928
1189360426
12498a8000
13299486ac
1418c809b2
151020a4a3
hexa46d000

172412928 has 104 divisors (see below), whose sum is σ = 511118400. Its totient is φ = 57434112.

The previous prime is 172412893. The next prime is 172412987. The reversal of 172412928 is 829214271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172412892 and 172412901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109813 + ... + 111371.

It is an arithmetic number, because the mean of its divisors is an integer number (4914600).

Almost surely, 2172412928 is an apocalyptic number.

172412928 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 172412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255559200).

172412928 is an abundant number, since it is smaller than the sum of its proper divisors (338705472).

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

172412928 is an equidigital number, since it uses as much as digits as its factorization.

172412928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1564 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 172412928 is about 13130.6103437731. The cubic root of 172412928 is about 556.5744627585.

The spelling of 172412928 in words is "one hundred seventy-two million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1559 1728 2048 2304 3072 3118 3456 4096 4608 4677 6144 6236 6912 9216 9354 12288 12472 13824 14031 18432 18708 24944 27648 28062 36864 37416 42093 49888 55296 56124 74832 84186 99776 110592 112248 149664 168372 199552 224496 299328 336744 399104 448992 598656 673488 798208 897984 1197312 1346976 1596416 1795968 2394624 2693952 3192832 3591936 4789248 5387904 6385664 7183872 9578496 10775808 14367744 19156992 21551616 28735488 43103232 57470976 86206464 172412928