Search a number
-
+
1352550432 = 25327115197
BaseRepresentation
bin101000010011110…
…0100100000100000
310111021001200101110
41100213210200200
510232223103212
6342113503320
745342326502
oct12047444040
93437050343
101352550432
11634530182
12318b71b40
131872a71cc
14cb8bdd72
157db20a3c
hex509e4820

1352550432 has 48 divisors (see below), whose sum is σ = 3552437952. Its totient is φ = 450597120.

The previous prime is 1352550427. The next prime is 1352550461. The reversal of 1352550432 is 2340552531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13525504322 = 3658785342206773248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1352550432.

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, 257658 + ... + 262854.

It is an arithmetic number, because the mean of its divisors is an integer number (74009124).

Almost surely, 21352550432 is an apocalyptic number.

1352550432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1352550432 is an abundant number, since it is smaller than the sum of its proper divisors (2199887520).

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

1352550432 is a wasteful number, since it uses less digits than its factorization.

1352550432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921 (or 7913 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1352550432 is about 36777.0367484929. The cubic root of 1352550432 is about 1105.9050022665.

The spelling of 1352550432 in words is "one billion, three hundred fifty-two million, five hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2711 5197 5422 8133 10394 10844 15591 16266 20788 21688 31182 32532 41576 43376 62364 65064 83152 86752 124728 130128 166304 249456 260256 498912 14089067 28178134 42267201 56356268 84534402 112712536 169068804 225425072 338137608 450850144 676275216 1352550432