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938972080 = 245431072551
BaseRepresentation
bin110111111101111…
…001001110110000
32102102211201112201
4313331321032300
53410334101310
6233101232544
732161062634
oct6775711660
92372751481
10938972080
11442030692
12222562754
1311c6c03a7
148c9c2dc4
1557678e3a
hex37f793b0

938972080 has 80 divisors (see below), whose sum is σ = 2255641344. Its totient is φ = 363283200.

The previous prime is 938972057. The next prime is 938972081. The reversal of 938972080 is 80279839.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 938972080.

It is not an unprimeable number, because it can be changed into a prime (938972081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366805 + ... + 369355.

Almost surely, 2938972080 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 938972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127820672).

938972080 is an abundant number, since it is smaller than the sum of its proper divisors (1316669264).

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

938972080 is a wasteful number, since it uses less digits than its factorization.

938972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 938972080 is about 30642.6513213201. The cubic root of 938972080 is about 979.2289089230.

The spelling of 938972080 in words is "nine hundred thirty-eight million, nine hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 107 172 214 215 344 428 430 535 688 856 860 1070 1712 1720 2140 2551 3440 4280 4601 5102 8560 9202 10204 12755 18404 20408 23005 25510 36808 40816 46010 51020 73616 92020 102040 109693 184040 204080 219386 272957 368080 438772 545914 548465 877544 1091828 1096930 1364785 1755088 2183656 2193860 2729570 4367312 4387720 5459140 8775440 10918280 11737151 21836560 23474302 46948604 58685755 93897208 117371510 187794416 234743020 469486040 938972080