Search a number
-
+
28476448 = 25721113127
BaseRepresentation
bin110110010100…
…0010000100000
31222120202100021
41230220100200
524242221243
62454203224
7464021500
oct154502040
958522307
1028476448
111508a860
129653514
135b90690
143ad3a00
1527776ed
hex1b28420

28476448 has 144 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 10160640.

The previous prime is 28476439. The next prime is 28476473. The reversal of 28476448 is 84467482.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224161 + ... + 224287.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 228476448 is an apocalyptic number.

28476448 is a gapful number since it is divisible by the number (28) 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 28476448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

28476448 is an abundant number, since it is smaller than the sum of its proper divisors (48744416).

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

28476448 is a wasteful number, since it uses less digits than its factorization.

28476448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 344064, while the sum is 43.

The square root of 28476448 is about 5336.3328232036. The cubic root of 28476448 is about 305.3715725814.

The spelling of 28476448 in words is "twenty-eight million, four hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 127 143 154 176 182 196 208 224 254 286 308 352 364 392 416 508 539 572 616 637 728 784 889 1001 1016 1078 1144 1232 1274 1397 1456 1568 1651 1778 2002 2032 2156 2288 2464 2548 2794 2912 3302 3556 4004 4064 4312 4576 5096 5588 6223 6604 7007 7112 8008 8624 9779 10192 11176 11557 12446 13208 14014 14224 16016 17248 18161 19558 20384 22352 23114 24892 26416 28028 28448 32032 36322 39116 44704 46228 49784 52832 56056 68453 72644 78232 80899 92456 99568 112112 127127 136906 145288 156464 161798 184912 199136 224224 254254 273812 290576 312928 323596 369824 508508 547624 581152 647192 889889 1017016 1095248 1294384 1779778 2034032 2190496 2588768 3559556 4068064 7119112 14238224 28476448