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1144253952 = 293517541
BaseRepresentation
bin100010000110011…
…1110111000000000
32221202010010100000
41010030332320000
54320412111302
6305313200000
740232666232
oct10414767000
92852103300
101144253952
115379a0a26
1227b260000
131530a685a
14abd7c252
156a6c831c
hex4433ee00

1144253952 has 240 divisors, whose sum is σ = 3632861232. Its totient is φ = 358318080.

The previous prime is 1144253923. The next prime is 1144254011. The reversal of 1144253952 is 2593524411.

1144253952 is a `hidden beast` number, since 114 + 4 + 2 + 539 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2114802 + ... + 2115342.

Almost surely, 21144253952 is an apocalyptic number.

1144253952 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 1144253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816430616).

1144253952 is an abundant number, since it is smaller than the sum of its proper divisors (2488607280).

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

1144253952 is an frugal number, since it uses more digits than its factorization.

1144253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 563 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1144253952 is about 33826.8229663975. The cubic root of 1144253952 is about 1045.9416897083.

The spelling of 1144253952 in words is "one billion, one hundred forty-four million, two hundred fifty-three thousand, nine hundred fifty-two".