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1042894144 = 26531312347
BaseRepresentation
bin111110001010010…
…100110101000000
32200200101111211001
4332022110311000
54113440103034
6251252501344
734562311465
oct7612246500
92620344731
101042894144
11495760896
1225131a854
131380a8136
149c71566c
1561855a14
hex3e294d40

1042894144 has 56 divisors (see below), whose sum is σ = 2125541088. Its totient is φ = 507486720.

The previous prime is 1042894141. The next prime is 1042894147. The reversal of 1042894144 is 4414982401.

It is an interprime number because it is at equal distance from previous prime (1042894141) and next prime (1042894147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042894141) 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, 443179 + ... + 445525.

Almost surely, 21042894144 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 1042894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062770544).

1042894144 is an abundant number, since it is smaller than the sum of its proper divisors (1082646944).

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

1042894144 is a wasteful number, since it uses less digits than its factorization.

1042894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1042894144 is about 32293.8716167635. The cubic root of 1042894144 is about 1014.0983504359.

The spelling of 1042894144 in words is "one billion, forty-two million, eight hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 131 212 262 424 524 848 1048 1696 2096 2347 3392 4192 4694 6943 8384 9388 13886 18776 27772 37552 55544 75104 111088 124391 150208 222176 248782 307457 444352 497564 614914 995128 1229828 1990256 2459656 3980512 4919312 7961024 9838624 16295221 19677248 32590442 65180884 130361768 260723536 521447072 1042894144