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1072004463 = 354411541
BaseRepresentation
bin111111111001010…
…111110101101111
32202201011110200000
4333321113311233
54143413120323
6254212435343
735364613305
oct7771276557
92681143600
101072004463
11500133902
1225b018b53
1314112b18a
14a2532275
15641a5e43
hex3fe57d6f

1072004463 has 12 divisors (see below), whose sum is σ = 1605801288. Its totient is φ = 714669480.

The previous prime is 1072004429. The next prime is 1072004471. The reversal of 1072004463 is 3644002701.

1072004463 is a `hidden beast` number, since 10 + 7 + 200 + 446 + 3 = 666.

It is not a de Polignac number, because 1072004463 - 29 = 1072003951 is a prime.

It is a super-2 number, since 2×10720044632 = 2298387137383836738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072004413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2205528 + ... + 2206013.

It is an arithmetic number, because the mean of its divisors is an integer number (133816774).

Almost surely, 21072004463 is an apocalyptic number.

1072004463 is a deficient number, since it is larger than the sum of its proper divisors (533796825).

1072004463 is an frugal number, since it uses more digits than its factorization.

1072004463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411556 (or 4411544 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1072004463 is about 32741.4792426976. The cubic root of 1072004463 is about 1023.4474096663.

The spelling of 1072004463 in words is "one billion, seventy-two million, four thousand, four hundred sixty-three".

Divisors: 1 3 9 27 81 243 4411541 13234623 39703869 119111607 357334821 1072004463