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490149744 = 243744253
BaseRepresentation
bin11101001101110…
…001011101110000
31021011022012001020
4131031301131300
52000434242434
6120345335440
715101130000
oct3515613560
91234265036
10490149744
11231749837
12118197580
137a716746
1449150000
152d06e849
hex1d371770

490149744 has 100 divisors (see below), whose sum is σ = 1477516296. Its totient is φ = 140009856.

The previous prime is 490149721. The next prime is 490149799. The reversal of 490149744 is 447941094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 490149696 and 490149705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113122 + ... + 117374.

Almost surely, 2490149744 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 490149744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738758148).

490149744 is an abundant number, since it is smaller than the sum of its proper divisors (987366552).

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

490149744 is an equidigital number, since it uses as much as digits as its factorization.

490149744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 490149744 is about 22139.3257349902. The cubic root of 490149744 is about 788.4538171133.

It can be divided in two parts, 4901 and 49744, that added together give a palindrome (54645).

The spelling of 490149744 in words is "four hundred ninety million, one hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2401 2744 4116 4253 4802 5488 7203 8232 8506 9604 12759 14406 16464 17012 19208 25518 28812 29771 34024 38416 51036 57624 59542 68048 89313 102072 115248 119084 178626 204144 208397 238168 357252 416794 476336 625191 714504 833588 1250382 1429008 1458779 1667176 2500764 2917558 3334352 4376337 5001528 5835116 8752674 10003056 10211453 11670232 17505348 20422906 23340464 30634359 35010696 40845812 61268718 70021392 81691624 122537436 163383248 245074872 490149744