Search a number
-
+
3750144 = 28319257
BaseRepresentation
bin1110010011100100000000
321001112020020
432103210000
51430001034
6212213440
743606236
oct16234400
97045206
103750144
1121315a2
12130a280
13a13c28
146d8956
154e1249
hex393900

3750144 has 72 divisors (see below), whose sum is σ = 10547040. Its totient is φ = 1179648.

The previous prime is 3750119. The next prime is 3750151. The reversal of 3750144 is 4410573.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

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, 14464 + ... + 14720.

Almost surely, 23750144 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 3750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273520).

3750144 is an abundant number, since it is smaller than the sum of its proper divisors (6796896).

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

3750144 is a wasteful number, since it uses less digits than its factorization.

3750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3750144 is about 1936.5288533869. The cubic root of 3750144 is about 155.3636139010.

The spelling of 3750144 in words is "three million, seven hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 257 304 384 456 514 608 768 771 912 1028 1216 1542 1824 2056 2432 3084 3648 4112 4864 4883 6168 7296 8224 9766 12336 14592 14649 16448 19532 24672 29298 32896 39064 49344 58596 65792 78128 98688 117192 156256 197376 234384 312512 468768 625024 937536 1250048 1875072 3750144