Search a number
-
+
25441152 = 2731119317
BaseRepresentation
bin110000100001…
…1001110000000
31202212112200220
41201003032000
523003104102
62305143040
7426150312
oct141031600
952775626
1025441152
11133a7350
12862aa80
135369c49
1435437b2
1523781bc
hex1843380

25441152 has 128 divisors (see below), whose sum is σ = 77846400. Its totient is φ = 7280640.

The previous prime is 25441121. The next prime is 25441153. The reversal of 25441152 is 25114452.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25441153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80098 + ... + 80414.

It is an arithmetic number, because the mean of its divisors is an integer number (608175).

Almost surely, 225441152 is an apocalyptic number.

25441152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38923200).

25441152 is an abundant number, since it is smaller than the sum of its proper divisors (52405248).

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

25441152 is a wasteful number, since it uses less digits than its factorization.

25441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 25441152 is about 5043.9222833029. The cubic root of 25441152 is about 294.1116702911. Note that the first 3 decimals are identical.

The spelling of 25441152 in words is "twenty-five million, four hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 317 352 384 418 456 528 608 627 634 704 836 912 951 1056 1216 1254 1268 1408 1672 1824 1902 2112 2432 2508 2536 3344 3487 3648 3804 4224 5016 5072 6023 6688 6974 7296 7608 10032 10144 10461 12046 13376 13948 15216 18069 20064 20288 20922 24092 26752 27896 30432 36138 40128 40576 41844 48184 55792 60864 66253 72276 80256 83688 96368 111584 121728 132506 144552 167376 192736 198759 223168 265012 289104 334752 385472 397518 446336 530024 578208 669504 770944 795036 1060048 1156416 1339008 1590072 2120096 2312832 3180144 4240192 6360288 8480384 12720576 25441152