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4254480 = 2432519311
BaseRepresentation
bin10000001110101100010000
322000011001100
4100032230100
52042120410
6231104400
751106506
oct20165420
98004040
104254480
1124464aa
121512100
13b5c659
147ca676
155908c0
hex40eb10

4254480 has 120 divisors (see below), whose sum is σ = 15088320. Its totient is φ = 1071360.

The previous prime is 4254473. The next prime is 4254491. The reversal of 4254480 is 844524.

4254480 is a `hidden beast` number, since 42 + 544 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 3.

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, 13525 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (125736).

Almost surely, 24254480 is an apocalyptic number.

4254480 is a gapful number since it is divisible by the number (40) 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 4254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544160).

4254480 is an abundant number, since it is smaller than the sum of its proper divisors (10833840).

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

4254480 is a wasteful number, since it uses less digits than its factorization.

4254480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4254480 is about 2062.6390862194. The cubic root of 4254480 is about 162.0374856098.

It can be divided in two parts, 42544 and 80, that added together give a palindrome (42624).

The spelling of 4254480 in words is "four million, two hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 311 342 360 380 456 570 622 684 720 760 855 912 933 1140 1244 1368 1520 1555 1710 1866 2280 2488 2736 2799 3110 3420 3732 4560 4665 4976 5598 5909 6220 6840 7464 9330 11196 11818 12440 13680 13995 14928 17727 18660 22392 23636 24880 27990 29545 35454 37320 44784 47272 53181 55980 59090 70908 74640 88635 94544 106362 111960 118180 141816 177270 212724 223920 236360 265905 283632 354540 425448 472720 531810 709080 850896 1063620 1418160 2127240 4254480