Search a number
-
+
4137152 = 26127509
BaseRepresentation
bin1111110010000011000000
321210012002212
433302003000
52024342102
6224401252
750110445
oct17620300
97705085
104137152
112376338
121476228
13b1b126
147999cc
1556ac52
hex3f20c0

4137152 has 28 divisors (see below), whose sum is σ = 8290560. Its totient is φ = 2048256.

The previous prime is 4137149. The next prime is 4137157. The reversal of 4137152 is 2517314.

4137152 is an admirable number.

It is a super-2 number, since 2×41371522 = 34232053342208, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4137157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7874 + ... + 8382.

Almost surely, 24137152 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 4137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145280).

4137152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

4137152 is a wasteful number, since it uses less digits than its factorization.

4137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 638 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 4137152 is about 2033.9990167156. Note that the first 3 decimals coincide. The cubic root of 4137152 is about 160.5340487993.

The spelling of 4137152 in words is "four million, one hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 127 254 508 509 1016 1018 2032 2036 4064 4072 8128 8144 16288 32576 64643 129286 258572 517144 1034288 2068576 4137152