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4532472 = 2332717232
BaseRepresentation
bin10001010010100011111000
322112021101100
4101102203320
52130014342
6241051400
753345130
oct21224370
98467340
104532472
11261634a
121626b60
13c29049
1485dac0
155e7e4c
hex4528f8

4532472 has 144 divisors (see below), whose sum is σ = 15528240. Its totient is φ = 1165824.

The previous prime is 4532471. The next prime is 4532513. The reversal of 4532472 is 2742354.

4532472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197053 + ... + 197075.

It is an arithmetic number, because the mean of its divisors is an integer number (107835).

Almost surely, 24532472 is an apocalyptic number.

4532472 is a gapful number since it is divisible by the number (42) 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 4532472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764120).

4532472 is an abundant number, since it is smaller than the sum of its proper divisors (10995768).

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

4532472 is a wasteful number, since it uses less digits than its factorization.

4532472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 4532472 is about 2128.9603096347. The cubic root of 4532472 is about 165.4925228532.

The spelling of 4532472 in words is "four million, five hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 23 24 28 34 36 42 46 51 56 63 68 69 72 84 92 102 119 126 136 138 153 161 168 184 204 207 238 252 276 306 322 357 391 408 414 476 483 504 529 552 612 644 714 782 828 952 966 1058 1071 1173 1224 1288 1428 1449 1564 1587 1656 1932 2116 2142 2346 2737 2856 2898 3128 3174 3519 3703 3864 4232 4284 4692 4761 5474 5796 6348 7038 7406 8211 8568 8993 9384 9522 10948 11109 11592 12696 14076 14812 16422 17986 19044 21896 22218 24633 26979 28152 29624 32844 33327 35972 38088 44436 49266 53958 62951 65688 66654 71944 80937 88872 98532 107916 125902 133308 161874 188853 197064 215832 251804 266616 323748 377706 503608 566559 647496 755412 1133118 1510824 2266236 4532472