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7972803900 = 22325244319997
BaseRepresentation
bin1110110110011011…
…10101010100111100
3202120122020101212100
413123031311110330
5112312014211100
63355044505100
7401400500145
oct73315652474
922518211770
107972803900
113421492636
1216660ab190
139a0a10459
14558c28acc
15319e27400
hex1db37553c

7972803900 has 108 divisors (see below), whose sum is σ = 25047974952. Its totient is φ = 2121175680.

The previous prime is 7972803893. The next prime is 7972803911. The reversal of 7972803900 is 93082797.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388702 + ... + 408698.

It is an arithmetic number, because the mean of its divisors is an integer number (231925694).

Almost surely, 27972803900 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 7972803900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523987476).

7972803900 is an abundant number, since it is smaller than the sum of its proper divisors (17075171052).

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

7972803900 is a wasteful number, since it uses less digits than its factorization.

7972803900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20460 (or 20450 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 7972803900 is about 89290.5588514262. The cubic root of 7972803900 is about 1997.7310853198.

The spelling of 7972803900 in words is "seven billion, nine hundred seventy-two million, eight hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 443 450 886 900 1329 1772 2215 2658 3987 4430 5316 6645 7974 8860 11075 13290 15948 19935 19997 22150 26580 33225 39870 39994 44300 59991 66450 79740 79988 99675 99985 119982 132900 179973 199350 199970 239964 299955 359946 398700 399940 499925 599910 719892 899865 999850 1199820 1499775 1799730 1999700 2999550 3599460 4499325 5999100 8858671 8998650 17717342 17997300 26576013 35434684 44293355 53152026 79728039 88586710 106304052 132880065 159456078 177173420 221466775 265760130 318912156 398640195 442933550 531520260 664400325 797280390 885867100 1328800650 1594560780 1993200975 2657601300 3986401950 7972803900