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1055952 = 24327333
BaseRepresentation
bin100000001110011010000
31222122111100
410001303100
5232242302
634344400
711655402
oct4016320
91878440
101055952
11661397
1242b100
132ac831
141d6b72
1515cd1c
hex101cd0

1055952 has 30 divisors (see below), whose sum is σ = 2955602. Its totient is φ = 351936.

The previous prime is 1055947. The next prime is 1055959. The reversal of 1055952 is 2595501.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 484416 = 756^2 + 696^2 .

It is a super-2 number, since 2×10559522 = 2230069252608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3523 + ... + 3810.

21055952 is an apocalyptic number.

1055952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1055952 is an abundant number, since it is smaller than the sum of its proper divisors (1899650).

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

1055952 is a wasteful number, since it uses less digits than its factorization.

1055952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 1055952 is about 1027.5952510595. The cubic root of 1055952 is about 101.8313244476.

The spelling of 1055952 in words is "one million, fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7333 14666 21999 29332 43998 58664 65997 87996 117328 131994 175992 263988 351984 527976 1055952