Search a number
-
+
32948608 = 277113343
BaseRepresentation
bin111110110110…
…0000110000000
32021222221222211
41331230012000
531413323413
63134111504
7550026040
oct175540600
967887884
1032948608
1117664860
12b04b594
136a98124
144539720
152d5c83d
hex1f6c180

32948608 has 64 divisors (see below), whose sum is σ = 81861120. Its totient is φ = 12833280.

The previous prime is 32948579. The next prime is 32948639. The reversal of 32948608 is 80684923.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×329486082 = 2171221538275328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8185 + ... + 11527.

It is an arithmetic number, because the mean of its divisors is an integer number (1279080).

Almost surely, 232948608 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 32948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40930560).

32948608 is an abundant number, since it is smaller than the sum of its proper divisors (48912512).

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

32948608 is a wasteful number, since it uses less digits than its factorization.

32948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 32948608 is about 5740.0878042065. The cubic root of 32948608 is about 320.5868398183.

The spelling of 32948608 in words is "thirty-two million, nine hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 3343 4928 6686 9856 13372 23401 26744 36773 46802 53488 73546 93604 106976 147092 187208 213952 257411 294184 374416 427904 514822 588368 748832 1029644 1176736 1497664 2059288 2353472 2995328 4118576 4706944 8237152 16474304 32948608