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1972394592 = 253731731297
BaseRepresentation
bin111010110010000…
…0101101001100000
312002110102000201120
41311210011221200
513014413111332
6523415132240
766610035360
oct16544055140
95073360646
101972394592
11922402283
12470674080
132558302bc
14149d509a0
15b825d32c
hex75905a60

1972394592 has 192 divisors, whose sum is σ = 6196506624. Its totient is φ = 537477120.

The previous prime is 1972394551. The next prime is 1972394597. The reversal of 1972394592 is 2954932791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972394597) 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 31 ways as a sum of consecutive naturals, for example, 1520088 + ... + 1521384.

It is an arithmetic number, because the mean of its divisors is an integer number (32273472).

Almost surely, 21972394592 is an apocalyptic number.

1972394592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972394592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098253312).

1972394592 is an abundant number, since it is smaller than the sum of its proper divisors (4224112032).

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

1972394592 is a wasteful number, since it uses less digits than its factorization.

1972394592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1413 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 1972394592 is about 44411.6492825925. The cubic root of 1972394592 is about 1254.0974006644.

The spelling of 1972394592 in words is "one billion, nine hundred seventy-two million, three hundred ninety-four thousand, five hundred ninety-two".