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490369152 = 27371314033
BaseRepresentation
bin11101001110100…
…111000010000000
31021011201100000110
4131032213002000
52001013303102
6120354151320
715103032450
oct3516470200
91234640013
10490369152
11231889669
12118282540
137a792580
14491a9d60
152d0b486c
hex1d3a7080

490369152 has 128 divisors (see below), whose sum is σ = 1603244160. Its totient is φ = 129318912.

The previous prime is 490369151. The next prime is 490369171. The reversal of 490369152 is 251963094.

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

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 490369152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490369151) 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, 27928 + ... + 41960.

It is an arithmetic number, because the mean of its divisors is an integer number (12525345).

Almost surely, 2490369152 is an apocalyptic number.

490369152 is a gapful number since it is divisible by the number (42) 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 490369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801622080).

490369152 is an abundant number, since it is smaller than the sum of its proper divisors (1112875008).

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

490369152 is a wasteful number, since it uses less digits than its factorization.

490369152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14070 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 490369152 is about 22144.2803450462. The cubic root of 490369152 is about 788.5714459747.

The spelling of 490369152 in words is "four hundred ninety million, three hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 14033 17472 28066 34944 42099 56132 84198 98231 112264 168396 182429 196462 224528 294693 336792 364858 392924 449056 547287 589386 673584 729716 785848 898112 1094574 1178772 1277003 1347168 1459432 1571696 1796224 2189148 2357544 2554006 2694336 2918864 3143392 3831009 4378296 4715088 5108012 5388672 5837728 6286784 7662018 8756592 9430176 10216024 11675456 12573568 15324036 17513184 18860352 20432048 23350912 30648072 35026368 37720704 40864096 61296144 70052736 81728192 122592288 163456384 245184576 490369152