Search a number
-
+
48804448 = 2571129683
BaseRepresentation
bin1011101000101…
…1001001100000
310101211112010011
42322023021200
544443220243
64502014304
71131555010
oct272131140
9111745104
1048804448
1125604560
1214417394
13a15a194
1466a5c40
15444089d
hex2e8b260

48804448 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 18332160.

The previous prime is 48804403. The next prime is 48804451. The reversal of 48804448 is 84440884.

It is a self number, because there is not a number n which added to its sum of digits gives 48804448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71115 + ... + 71797.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 248804448 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 48804448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

48804448 is an abundant number, since it is smaller than the sum of its proper divisors (75300512).

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

48804448 is a wasteful number, since it uses less digits than its factorization.

48804448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 48804448 is about 6986.0180360489. The cubic root of 48804448 is about 365.4431297790.

The spelling of 48804448 in words is "forty-eight million, eight hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 683 812 928 1232 1276 1366 1624 2233 2464 2552 2732 3248 4466 4781 5104 5464 6496 7513 8932 9562 10208 10928 15026 17864 19124 19807 21856 30052 35728 38248 39614 52591 60104 71456 76496 79228 105182 120208 138649 152992 158456 210364 217877 240416 277298 316912 420728 435754 554596 633824 841456 871508 1109192 1525139 1682912 1743016 2218384 3050278 3486032 4436768 6100556 6972064 12201112 24402224 48804448