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5485480 = 23571113137
BaseRepresentation
bin10100111011001110101000
3101022200122221
4110323032220
52401013410
6313323424
764424440
oct24731650
911280587
105485480
113107360
121a06574
1311a0a60
14a2b120
157354da
hex53b3a8

5485480 has 128 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 1566720.

The previous prime is 5485457. The next prime is 5485483. The reversal of 5485480 is 845845.

5485480 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

5485480 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (5485483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39972 + ... + 40108.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

Almost surely, 25485480 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 5485480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

5485480 is an abundant number, since it is smaller than the sum of its proper divisors (11207000).

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

5485480 is a wasteful number, since it uses less digits than its factorization.

5485480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 5485480 is about 2342.1101596637. The cubic root of 5485480 is about 176.3619445436.

The spelling of 5485480 in words is "five million, four hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 137 140 143 154 182 220 260 274 280 286 308 364 385 440 455 520 548 572 616 685 715 728 770 910 959 1001 1096 1144 1370 1430 1507 1540 1781 1820 1918 2002 2740 2860 3014 3080 3562 3640 3836 4004 4795 5005 5480 5720 6028 7124 7535 7672 8008 8905 9590 10010 10549 12056 12467 14248 15070 17810 19180 19591 20020 21098 24934 30140 35620 38360 39182 40040 42196 49868 52745 60280 62335 71240 78364 84392 97955 99736 105490 124670 137137 156728 195910 210980 249340 274274 391820 421960 498680 548548 685685 783640 1097096 1371370 2742740 5485480