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1243505152 = 292989941
BaseRepresentation
bin100101000011110…
…0110001000000000
310012122212121101101
41022013212020000
510021314131102
6323220344144
742546422311
oct11207461000
93178777341
101243505152
11588a2090a
122a8545054
1316a817586
14bb216608
1574280e87
hex4a1e6200

1243505152 has 80 divisors (see below), whose sum is σ = 2601898200. Its totient is φ = 592936960.

The previous prime is 1243505129. The next prime is 1243505161. The reversal of 1243505152 is 2515053421.

It can be written as a sum of positive squares in 4 ways, for example, as 972441856 + 271063296 = 31184^2 + 16464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1243505152.

It is a congruent number.

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, 1321002 + ... + 1321942.

Almost surely, 21243505152 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 1243505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300949100).

1243505152 is an abundant number, since it is smaller than the sum of its proper divisors (1358393048).

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

1243505152 is an frugal number, since it uses more digits than its factorization.

1243505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 1243505152 is about 35263.3684153967. The cubic root of 1243505152 is about 1075.3484075665.

Adding to 1243505152 its reverse (2515053421), we get a palindrome (3758558573).

The spelling of 1243505152 in words is "one billion, two hundred forty-three million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 128 178 232 256 356 464 512 712 928 941 1424 1856 1882 2581 2848 3712 3764 5162 5696 7424 7528 10324 11392 14848 15056 20648 22784 27289 30112 41296 45568 54578 60224 82592 83749 109156 120448 165184 167498 218312 240896 330368 334996 436624 481792 660736 669992 873248 1321472 1339984 1746496 2428721 2679968 3492992 4857442 5359936 6985984 9714884 10719872 13971968 19429768 21439744 38859536 42879488 77719072 155438144 310876288 621752576 1243505152