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5508480 = 273519151
BaseRepresentation
bin10101000000110110000000
3101100212012210
4111000312000
52402232410
6314022120
764551465
oct25006600
911325183
105508480
11312266a
121a17940
1311ab373
14a3566c
1573c220
hex540d80

5508480 has 128 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 1382400.

The previous prime is 5508469. The next prime is 5508497. The reversal of 5508480 is 848055.

It is a tau number, because it is divible by the number of its divisors (128).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36405 + ... + 36555.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 25508480 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 5508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

5508480 is an abundant number, since it is smaller than the sum of its proper divisors (13096320).

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

5508480 is a wasteful number, since it uses less digits than its factorization.

5508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5508480 is about 2347.0151256436. The cubic root of 5508480 is about 176.6080894362.

The spelling of 5508480 in words is "five million, five hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 151 152 160 190 192 228 240 285 302 304 320 380 384 453 456 480 570 604 608 640 755 760 906 912 960 1140 1208 1216 1510 1520 1812 1824 1920 2265 2280 2416 2432 2869 3020 3040 3624 3648 4530 4560 4832 5738 6040 6080 7248 7296 8607 9060 9120 9664 11476 12080 12160 14345 14496 17214 18120 18240 19328 22952 24160 28690 28992 34428 36240 36480 43035 45904 48320 57380 57984 68856 72480 86070 91808 96640 114760 137712 144960 172140 183616 229520 275424 289920 344280 367232 459040 550848 688560 918080 1101696 1377120 1836160 2754240 5508480