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1649496996 = 2232729672
BaseRepresentation
bin110001001010001…
…0101001110100100
311020221211010111100
41202110111032210
511334232400441
6431402240100
755606331100
oct14224251644
94227733440
101649496996
11777109564
123a04b6030
13203976234
141190da900
1599c29cb6
hex625153a4

1649496996 has 81 divisors (see below), whose sum is σ = 4855327659. Its totient is φ = 470797488.

The previous prime is 1649496943. The next prime is 1649496997. The reversal of 1649496996 is 6996949461.

The square root of 1649496996 is 40614.

It is a perfect power (a square), and thus also a powerful number.

1649496996 is a `hidden beast` number, since 16 + 49 + 496 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1649496997) 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 26 ways as a sum of consecutive naturals, for example, 1705305 + ... + 1706271.

Almost surely, 21649496996 is an apocalyptic number.

1649496996 is the 40614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649496996

1649496996 is an abundant number, since it is smaller than the sum of its proper divisors (3205830663).

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

1649496996 is an equidigital number, since it uses as much as digits as its factorization.

1649496996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 979 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The cubic root of 1649496996 is about 1181.5456609708.

The spelling of 1649496996 in words is "one billion, six hundred forty-nine million, four hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 967 1764 1934 2901 3868 5802 6769 8703 11604 13538 17406 20307 27076 34812 40614 47383 60921 81228 94766 121842 142149 189532 243684 284298 426447 568596 852894 935089 1705788 1870178 2805267 3740356 5610534 6545623 8415801 11221068 13091246 16831602 19636869 26182492 33663204 39273738 45819361 58910607 78547476 91638722 117821214 137458083 183277444 235642428 274916166 412374249 549832332 824748498 1649496996