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1420829949 = 37114123659
BaseRepresentation
bin101010010110000…
…0010010011111101
310200000112122021110
41110230002103331
510402213024244
6352553152233
750131566240
oct12454022375
93600478243
101420829949
1166a026630
123379bb679
131984928a6
14d69b5257
1584b0b9b9
hex54b024fd

1420829949 has 48 divisors (see below), whose sum is σ = 2421573120. Its totient is φ = 719894400.

The previous prime is 1420829929. The next prime is 1420829959. The reversal of 1420829949 is 9499280241.

It is not a de Polignac number, because 1420829949 - 29 = 1420829437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1420829898 and 1420829907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420829929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386482 + ... + 390140.

It is an arithmetic number, because the mean of its divisors is an integer number (50449440).

Almost surely, 21420829949 is an apocalyptic number.

It is an amenable number.

1420829949 is a deficient number, since it is larger than the sum of its proper divisors (1000743171).

1420829949 is a wasteful number, since it uses less digits than its factorization.

1420829949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1420829949 is about 37693.8980340320. The cubic root of 1420829949 is about 1124.2098020346.

The spelling of 1420829949 in words is "one billion, four hundred twenty million, eight hundred twenty-nine thousand, nine hundred forty-nine".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 1681 3157 3659 5043 9471 10977 11767 18491 25613 35301 40249 55473 76839 120747 129437 150019 281743 388311 450057 845229 1050133 1650209 3150399 4950627 6150779 11551463 18452337 34654389 43055453 67658569 129166359 202975707 473609983 1420829949