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1972463472 = 2432715112959
BaseRepresentation
bin111010110010001…
…0110011101110000
312002110112112012200
41311210112131300
513014422312342
6523420423200
766610443240
oct16544263560
95073475180
101972463472
1192244a001
124706a7b00
13255855765
14149d6bb20
15b827394c
hex75916770

1972463472 has 120 divisors (see below), whose sum is σ = 6351022080. Its totient is φ = 559785600.

The previous prime is 1972463461. The next prime is 1972463491. The reversal of 1972463472 is 2743642791.

1972463472 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 4 + 634 + 7 + 2 = 666.

It is a super-2 number, since 2×19724634722 = 7781224296748589568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145729 + ... + 158687.

It is an arithmetic number, because the mean of its divisors is an integer number (52925184).

Almost surely, 21972463472 is an apocalyptic number.

1972463472 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 1972463472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175511040).

1972463472 is an abundant number, since it is smaller than the sum of its proper divisors (4378558608).

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

1972463472 is a wasteful number, since it uses less digits than its factorization.

1972463472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13122 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 1972463472 is about 44412.4247480364. The cubic root of 1972463472 is about 1254.1119990319. Note that the first 3 decimals are identical.

The spelling of 1972463472 in words is "one billion, nine hundred seventy-two million, four hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 504 604 906 1008 1057 1208 1359 1812 2114 2416 2718 3171 3624 4228 5436 6342 7248 8456 9513 10872 12684 12959 16912 19026 21744 25368 25918 38052 38877 50736 51836 76104 77754 90713 103672 116631 152208 155508 181426 207344 233262 272139 311016 362852 466524 544278 622032 725704 816417 933048 1088556 1451408 1632834 1866096 1956809 2177112 3265668 3913618 4354224 5870427 6531336 7827236 11740854 13062672 13697663 15654472 17611281 23481708 27395326 31308944 35222562 41092989 46963416 54790652 70445124 82185978 93926832 109581304 123278967 140890248 164371956 219162608 246557934 281780496 328743912 493115868 657487824 986231736 1972463472