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5505408 = 273659
BaseRepresentation
bin10101000000000110000000
3101100201000000
4111000012000
52402133113
6314000000
764536516
oct25000600
911321000
105505408
113120327
121a16000
1311a9b4c
14a344b6
1573b373
hex540180

5505408 has 112 divisors (see below), whose sum is σ = 16722900. Its totient is φ = 1804032.

The previous prime is 5505403. The next prime is 5505413. The reversal of 5505408 is 8045055.

It is an interprime number because it is at equal distance from previous prime (5505403) and next prime (5505413).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93283 + ... + 93341.

Almost surely, 25505408 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 5505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361450).

5505408 is an abundant number, since it is smaller than the sum of its proper divisors (11217492).

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

5505408 is an frugal number, since it uses more digits than its factorization.

5505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5505408 is about 2346.3605860992. The cubic root of 5505408 is about 176.5752527349.

The spelling of 5505408 in words is "five million, five hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 128 144 162 177 192 216 236 243 288 324 354 384 432 472 486 531 576 648 708 729 864 944 972 1062 1152 1296 1416 1458 1593 1728 1888 1944 2124 2592 2832 2916 3186 3456 3776 3888 4248 4779 5184 5664 5832 6372 7552 7776 8496 9558 10368 11328 11664 12744 14337 15552 16992 19116 22656 23328 25488 28674 31104 33984 38232 43011 46656 50976 57348 67968 76464 86022 93312 101952 114696 152928 172044 203904 229392 305856 344088 458784 611712 688176 917568 1376352 1835136 2752704 5505408