[go: up one dir, main page]

Search a number
-
+
33748272 = 243378121
BaseRepresentation
bin1000000010111…
…1010100110000
32100111120221000
42000233110300
532114421042
63203202000
7556566315
oct200572460
970446830
1033748272
1118060638
12b376300
136cb80bc
1446a6d0c
152e6974c
hex202f530

33748272 has 40 divisors (see below), whose sum is σ = 96871280. Its totient is φ = 11249280.

The previous prime is 33748271. The next prime is 33748279. The reversal of 33748272 is 27284733.

It is a super-2 number, since 2×337482722 = 2277891725971968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (33748271) 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, 38629 + ... + 39492.

It is an arithmetic number, because the mean of its divisors is an integer number (2421782).

Almost surely, 233748272 is an apocalyptic number.

It is an amenable number.

33748272 is an abundant number, since it is smaller than the sum of its proper divisors (63123008).

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

33748272 is a wasteful number, since it uses less digits than its factorization.

33748272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78138 (or 78126 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 33748272 is about 5809.3262948469. The cubic root of 33748272 is about 323.1596880578.

The spelling of 33748272 in words is "thirty-three million, seven hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 78121 156242 234363 312484 468726 624968 703089 937452 1249936 1406178 1874904 2109267 2812356 3749808 4218534 5624712 8437068 11249424 16874136 33748272