[go: up one dir, main page]

Search a number
-
+
8374272 = 21132947
BaseRepresentation
bin11111111100100000000000
3120202110100020
4133330200000
54120434042
6455253440
7131115534
oct37744000
916673306
108374272
1147aa795
12297a280
1319728ba
14117dbc4
15b063ec
hex7fc800

8374272 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2637824.

The previous prime is 8374271. The next prime is 8374339. The reversal of 8374272 is 2724738.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8374271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178153 + ... + 178199.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 28374272 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 8374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

8374272 is an abundant number, since it is smaller than the sum of its proper divisors (15212928).

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

8374272 is a wasteful number, since it uses less digits than its factorization.

8374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 8374272 is about 2893.8334437213. The cubic root of 8374272 is about 203.0715206587.

It can be divided in two parts, 8374 and 272, that added together give a triangular number (8646 = T131).

The spelling of 8374272 in words is "eight million, three hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 116 128 141 174 188 192 232 256 282 348 376 384 464 512 564 696 752 768 928 1024 1128 1363 1392 1504 1536 1856 2048 2256 2726 2784 3008 3072 3712 4089 4512 5452 5568 6016 6144 7424 8178 9024 10904 11136 12032 14848 16356 18048 21808 22272 24064 29696 32712 36096 43616 44544 48128 59392 65424 72192 87232 89088 96256 130848 144384 174464 178176 261696 288768 348928 523392 697856 1046784 1395712 2093568 2791424 4187136 8374272