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5464032 = 253747173
BaseRepresentation
bin10100110101111111100000
3101021121020120
4110311333200
52344322112
6313040240
764305060
oct24657740
911247216
105464032
1130a2232
1219b6080
131194072
14a233a0
1572de8c
hex535fe0

5464032 has 96 divisors (see below), whose sum is σ = 16837632. Its totient is φ = 1519104.

The previous prime is 5464031. The next prime is 5464033. The reversal of 5464032 is 2304645.

It is an interprime number because it is at equal distance from previous prime (5464031) and next prime (5464033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5463993 and 5464011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5464031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31498 + ... + 31670.

It is an arithmetic number, because the mean of its divisors is an integer number (175392).

Almost surely, 25464032 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 5464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418816).

5464032 is an abundant number, since it is smaller than the sum of its proper divisors (11373600).

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

5464032 is a wasteful number, since it uses less digits than its factorization.

5464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5464032 is about 2337.5268982410. The cubic root of 5464032 is about 176.1317883449.

Adding to 5464032 its reverse (2304645), we get a palindrome (7768677).

The spelling of 5464032 in words is "five million, four hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 173 188 224 282 329 336 346 376 519 564 658 672 692 752 987 1038 1128 1211 1316 1384 1504 1974 2076 2256 2422 2632 2768 3633 3948 4152 4512 4844 5264 5536 7266 7896 8131 8304 9688 10528 14532 15792 16262 16608 19376 24393 29064 31584 32524 38752 48786 56917 58128 65048 97572 113834 116256 130096 170751 195144 227668 260192 341502 390288 455336 683004 780576 910672 1366008 1821344 2732016 5464032