Search a number
-
+
988055400 = 233523744507
BaseRepresentation
bin111010111001001…
…000011101101000
32112212012102012110
4322321020131220
54010420233100
6242013242320
733325221663
oct7271103550
92485172173
10988055400
11467805712
12236a933a0
13129917487
149531c6da
155bb22250
hex3ae48768

988055400 has 96 divisors (see below), whose sum is σ = 3145825440. Its totient is φ = 256354560.

The previous prime is 988055381. The next prime is 988055407. The reversal of 988055400 is 4550889.

988055400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (988055407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54 + ... + 44453.

It is an arithmetic number, because the mean of its divisors is an integer number (32769015).

Almost surely, 2988055400 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 988055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572912720).

988055400 is an abundant number, since it is smaller than the sum of its proper divisors (2157770040).

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

988055400 is a wasteful number, since it uses less digits than its factorization.

988055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44563 (or 44554 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 988055400 is about 31433.3485330469. The cubic root of 988055400 is about 996.0025080177.

The spelling of 988055400 in words is "nine hundred eighty-eight million, fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 44507 89014 133521 178028 222535 267042 356056 445070 534084 667605 890140 1068168 1112675 1335210 1646759 1780280 2225350 2670420 3293518 3338025 4450700 4940277 5340840 6587036 6676050 8233795 8901400 9880554 13174072 13352100 16467590 19761108 24701385 26704200 32935180 39522216 41168975 49402770 65870360 82337950 98805540 123506925 164675900 197611080 247013850 329351800 494027700 988055400