Search a number
-
+
997472 = 2576173
BaseRepresentation
bin11110011100001100000
31212200021102
43303201200
5223404342
633213532
711323040
oct3634140
91780242
10997472
11621463
124012a8
1328c028
141bd720
1514a832
hexf3860

997472 has 48 divisors (see below), whose sum is σ = 2312352. Its totient is φ = 414720.

The previous prime is 997463. The next prime is 997511. The reversal of 997472 is 274799.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 997472.

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, 13628 + ... + 13700.

It is an arithmetic number, because the mean of its divisors is an integer number (48174).

2997472 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 997472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156176).

997472 is an abundant number, since it is smaller than the sum of its proper divisors (1314880).

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

997472 is a wasteful number, since it uses less digits than its factorization.

997472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its digits is 31752, while the sum is 38.

The square root of 997472 is about 998.7352001407. The cubic root of 997472 is about 99.9156622247.

The spelling of 997472 in words is "nine hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 73 112 122 146 224 244 292 427 488 511 584 854 976 1022 1168 1708 1952 2044 2336 3416 4088 4453 6832 8176 8906 13664 16352 17812 31171 35624 62342 71248 124684 142496 249368 498736 997472