[go: up one dir, main page]

Search a number
-
+
28450560 = 283531239
BaseRepresentation
bin110110010000…
…1111100000000
31222112102211110
41230201330000
524240404220
62453443320
7463553145
oct154417400
958472743
1028450560
1115072366
129640540
135b81968
143ac83cc
15276ebe0
hex1b21f00

28450560 has 144 divisors (see below), whose sum is σ = 94187520. Its totient is φ = 7311360.

The previous prime is 28450553. The next prime is 28450577. The reversal of 28450560 is 6505482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 118921 + ... + 119159.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 228450560 is an apocalyptic number.

28450560 is a gapful number since it is divisible by the number (20) 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 28450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760).

28450560 is an abundant number, since it is smaller than the sum of its proper divisors (65736960).

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

28450560 is a wasteful number, since it uses less digits than its factorization.

28450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 28450560 is about 5333.9066358533. The cubic root of 28450560 is about 305.2790065410.

The spelling of 28450560 in words is "twenty-eight million, four hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 239 240 248 256 310 320 372 384 465 478 480 496 620 640 717 744 768 930 956 960 992 1195 1240 1280 1434 1488 1860 1912 1920 1984 2390 2480 2868 2976 3585 3720 3824 3840 3968 4780 4960 5736 5952 7170 7409 7440 7648 7936 9560 9920 11472 11904 14340 14818 14880 15296 19120 19840 22227 22944 23808 28680 29636 29760 30592 37045 38240 39680 44454 45888 57360 59272 59520 61184 74090 76480 88908 91776 111135 114720 118544 119040 148180 152960 177816 183552 222270 229440 237088 296360 305920 355632 444540 458880 474176 592720 711264 889080 917760 948352 1185440 1422528 1778160 1896704 2370880 2845056 3556320 4741760 5690112 7112640 9483520 14225280 28450560