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1982448936 = 23321323711297
BaseRepresentation
bin111011000101001…
…1100010100101000
312010011022211200200
41312022130110220
513030001331221
6524414432200
7100061352336
oct16612342450
95104284620
101982448936
1192804a256
12473b02660
13257940810
1414b40ab56
15b9097426
hex7629c528

1982448936 has 192 divisors, whose sum is σ = 6123237120. Its totient is φ = 574801920.

The previous prime is 1982448899. The next prime is 1982448973. The reversal of 1982448936 is 6398442891.

1982448936 is a `hidden beast` number, since 198 + 2 + 448 + 9 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1982448899) and next prime (1982448973).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1527840 + ... + 1529136.

It is an arithmetic number, because the mean of its divisors is an integer number (31891860).

Almost surely, 21982448936 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 1982448936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061618560).

1982448936 is an abundant number, since it is smaller than the sum of its proper divisors (4140788184).

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

1982448936 is a wasteful number, since it uses less digits than its factorization.

1982448936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1982448936 is about 44524.7002909621. The cubic root of 1982448936 is about 1256.2247238101.

The spelling of 1982448936 in words is "one billion, nine hundred eighty-two million, four hundred forty-eight thousand, nine hundred thirty-six".