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1055435332 = 227196013301
BaseRepresentation
bin111110111010001…
…010101001000100
32201112222200002111
4332322022221010
54130142412312
6252421350404
735104023640
oct7672125104
92645880074
101055435332
114a1847206
12255568404
1313a879563
14a025bc20
15629d18a7
hex3ee8aa44

1055435332 has 48 divisors (see below), whose sum is σ = 2226340480. Its totient is φ = 427680000.

The previous prime is 1055435317. The next prime is 1055435363. The reversal of 1055435332 is 2335345501.

1055435332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10554353322 = 2227887480067900448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055435294 and 1055435303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318082 + ... + 321382.

Almost surely, 21055435332 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 1055435332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113170240).

1055435332 is an abundant number, since it is smaller than the sum of its proper divisors (1170905148).

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

1055435332 is a wasteful number, since it uses less digits than its factorization.

1055435332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 1055435332 is about 32487.4642285297. The cubic root of 1055435332 is about 1018.1471334843.

The spelling of 1055435332 in words is "one billion, fifty-five million, four hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 601 1202 2404 3301 4207 6602 8414 11419 13204 16828 22838 23107 45676 46214 62719 79933 92428 125438 159866 250876 319732 439033 878066 1756132 1983901 3967802 7935604 13887307 27774614 37694119 55549228 75388238 150776476 263858833 527717666 1055435332