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297493248 = 2831383359
BaseRepresentation
bin10001101110110…
…110001100000000
3202201210020000110
4101232312030000
51102124240443
645304151320
710241436153
oct2156661400
9681706013
10297493248
11142a22098
1283768540
1349830b10
142b71dc9a
151b1b6233
hex11bb6300

297493248 has 144 divisors (see below), whose sum is σ = 865347840. Its totient is φ = 90181632.

The previous prime is 297493243. The next prime is 297493249. The reversal of 297493248 is 842394792.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 297493197 and 297493206.

It is not an unprimeable number, because it can be changed into a prime (297493243) 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, 828493 + ... + 828851.

It is an arithmetic number, because the mean of its divisors is an integer number (6009360).

Almost surely, 2297493248 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 297493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432673920).

297493248 is an abundant number, since it is smaller than the sum of its proper divisors (567854592).

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

297493248 is a wasteful number, since it uses less digits than its factorization.

297493248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 297493248 is about 17247.9925788481. The cubic root of 297493248 is about 667.5631743151.

The spelling of 297493248 in words is "two hundred ninety-seven million, four hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 359 384 416 498 624 664 718 768 832 996 1077 1079 1248 1328 1436 1664 1992 2154 2158 2496 2656 2872 3237 3328 3984 4308 4316 4667 4992 5312 5744 6474 7968 8616 8632 9334 9984 10624 11488 12948 14001 15936 17232 17264 18668 21248 22976 25896 28002 29797 31872 34464 34528 37336 45952 51792 56004 59594 63744 68928 69056 74672 89391 91904 103584 112008 119188 137856 138112 149344 178782 207168 224016 238376 275712 276224 298688 357564 387361 414336 448032 476752 597376 715128 774722 828672 896064 953504 1162083 1194752 1430256 1549444 1792128 1907008 2324166 2860512 3098888 3584256 3814016 4648332 5721024 6197776 7628032 9296664 11442048 12395552 18593328 22884096 24791104 37186656 49582208 74373312 99164416 148746624 297493248