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1244909952 = 273311213229
BaseRepresentation
bin100101000110011…
…1101000110000000
310012202111222102000
41022030331012000
510022144104302
6323310424000
742564363036
oct11214750600
93182458360
101244909952
115897a0300
122a8b02000
1316abb9b10
14bb4a0556
157445c31c
hex4a33d180

1244909952 has 384 divisors, whose sum is σ = 4368252000. Its totient is φ = 346705920.

The previous prime is 1244909947. The next prime is 1244909977. The reversal of 1244909952 is 2599094421.

1244909952 is a `hidden beast` number, since 1 + 24 + 490 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1244909898 and 1244909907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436174 + ... + 5436402.

Almost surely, 21244909952 is an apocalyptic number.

1244909952 is a gapful number since it is divisible by the number (12) 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 1244909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184126000).

1244909952 is an abundant number, since it is smaller than the sum of its proper divisors (3123342048).

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

1244909952 is a wasteful number, since it uses less digits than its factorization.

1244909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1244909952 is about 35283.2814800438. The cubic root of 1244909952 is about 1075.7531990631.

The spelling of 1244909952 in words is "one billion, two hundred forty-four million, nine hundred nine thousand, nine hundred fifty-two".