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449869300 = 225217534993
BaseRepresentation
bin11010110100000…
…111010111110100
31011100111201122221
4122310013113310
51410131304200
6112350132124
714101553206
oct3264072764
91140451587
10449869300
11210a37511
121067b1044
137228236a
1443a66776
152976491a
hex1ad075f4

449869300 has 72 divisors (see below), whose sum is σ = 1053354456. Its totient is φ = 166133760.

The previous prime is 449869271. The next prime is 449869307. The reversal of 449869300 is 3968944.

It can be written as a sum of positive squares in 12 ways, for example, as 52823824 + 397045476 = 7268^2 + 19926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449869307) 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, 87604 + ... + 92596.

It is an arithmetic number, because the mean of its divisors is an integer number (14629923).

Almost surely, 2449869300 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 449869300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526677228).

449869300 is an abundant number, since it is smaller than the sum of its proper divisors (603485156).

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

449869300 is a wasteful number, since it uses less digits than its factorization.

449869300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 449869300 is about 21210.1225833327. The cubic root of 449869300 is about 766.2352351039.

The spelling of 449869300 in words is "four hundred forty-nine million, eight hundred sixty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 4993 5300 9010 9986 18020 19972 22525 24965 45050 49930 84881 90100 99860 124825 169762 249650 264629 339524 424405 499300 529258 848810 1058516 1323145 1697620 2122025 2646290 4244050 4498693 5292580 6615725 8488100 8997386 13231450 17994772 22493465 26462900 44986930 89973860 112467325 224934650 449869300