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7997230208 = 271131533457
BaseRepresentation
bin1110111001010110…
…00000110010000000
3202122100012101110102
413130223000302000
5112334242331313
63401320221532
7402115222652
oct73453006200
922570171412
107997230208
113434256470
12167230a8a8
139a5ab34a6
1455c1866d2
1531c14ea58
hex1dcac0c80

7997230208 has 128 divisors (see below), whose sum is σ = 18284797440. Its totient is φ = 3450470400.

The previous prime is 7997230187. The next prime is 7997230279. The reversal of 7997230208 is 8020327997.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2311616 + ... + 2315072.

It is an arithmetic number, because the mean of its divisors is an integer number (142849980).

Almost surely, 27997230208 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 7997230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142398720).

7997230208 is an abundant number, since it is smaller than the sum of its proper divisors (10287567232).

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

7997230208 is a wasteful number, since it uses less digits than its factorization.

7997230208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 7997230208 is about 89427.2341515715. The cubic root of 7997230208 is about 1999.7691573569.

The spelling of 7997230208 in words is "seven billion, nine hundred ninety-seven million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 53 62 64 88 106 124 128 176 212 248 341 352 424 496 583 682 704 848 992 1166 1364 1408 1643 1696 1984 2332 2728 3286 3392 3457 3968 4664 5456 6572 6784 6914 9328 10912 13144 13828 18073 18656 21824 26288 27656 36146 37312 38027 43648 52576 55312 72292 74624 76054 105152 107167 110624 144584 152108 183221 210304 214334 221248 289168 304216 366442 428668 442496 578336 608432 732884 857336 1156672 1178837 1216864 1465768 1714672 2015431 2313344 2357674 2433728 2931536 3429344 4030862 4715348 4867456 5679851 5863072 6858688 8061724 9430696 11359702 11726144 13717376 16123448 18861392 22719404 23452288 32246896 37722784 45438808 62478361 64493792 75445568 90877616 124956722 128987584 150891136 181755232 249913444 257975168 363510464 499826888 727020928 999653776 1999307552 3998615104 7997230208