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1055002832 = 241329174901
BaseRepresentation
bin111110111000100…
…001000011010000
32201112011200210222
4332320201003100
54130040042312
6252404212212
735100243002
oct7670410320
92645150728
101055002832
114a1581274
1225539a068
1313a757740
14a0188372
1562948672
hex3ee210d0

1055002832 has 40 divisors (see below), whose sum is σ = 2277224040. Its totient is φ = 470131200.

The previous prime is 1055002831. The next prime is 1055002849. The reversal of 1055002832 is 2382005501.

It can be written as a sum of positive squares in 4 ways, for example, as 56190016 + 998812816 = 7496^2 + 31604^2 .

It is a super-2 number, since 2×10550028322 = 2226061951056040448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055002831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81419 + ... + 93482.

It is an arithmetic number, because the mean of its divisors is an integer number (56930601).

Almost surely, 21055002832 is an apocalyptic number.

It is an amenable number.

1055002832 is an abundant number, since it is smaller than the sum of its proper divisors (1222221208).

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

1055002832 is a wasteful number, since it uses less digits than its factorization.

1055002832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174951 (or 174945 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1055002832 is about 32480.8071328285. The cubic root of 1055002832 is about 1018.0080411797.

The spelling of 1055002832 in words is "one billion, fifty-five million, two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 174901 349802 699604 1399208 2273713 2798416 4547426 5072129 9094852 10144258 18189704 20288516 36379408 40577032 65937677 81154064 131875354 263750708 527501416 1055002832