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48198304 = 2571131631
BaseRepresentation
bin1011011111011…
…1001010100000
310100200201122101
42313313022200
544314321204
64441020144
71123451560
oct267671240
9110621571
1048198304
1125230110
1214184654
139ca730b
146588da0
154370ea4
hex2df72a0

48198304 has 96 divisors (see below), whose sum is σ = 122314752. Its totient is φ = 18144000.

The previous prime is 48198289. The next prime is 48198331. The reversal of 48198304 is 40389184.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76069 + ... + 76699.

It is an arithmetic number, because the mean of its divisors is an integer number (1274112).

Almost surely, 248198304 is an apocalyptic number.

48198304 is a gapful number since it is divisible by the number (44) 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 48198304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61157376).

48198304 is an abundant number, since it is smaller than the sum of its proper divisors (74116448).

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

48198304 is a wasteful number, since it uses less digits than its factorization.

48198304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 48198304 is about 6942.4998379546. The cubic root of 48198304 is about 363.9239063255.

The spelling of 48198304 in words is "forty-eight million, one hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 631 682 868 992 1232 1262 1364 1736 2387 2464 2524 2728 3472 4417 4774 5048 5456 6941 6944 8834 9548 10096 10912 13882 17668 19096 19561 20192 27764 35336 38192 39122 48587 55528 70672 76384 78244 97174 111056 136927 141344 156488 194348 215171 222112 273854 312976 388696 430342 547708 625952 777392 860684 1095416 1506197 1554784 1721368 2190832 3012394 3442736 4381664 6024788 6885472 12049576 24099152 48198304