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4541152 = 257111997
BaseRepresentation
bin10001010100101011100000
322112201021211
4101110223200
52130304102
6241155504
753412340
oct21245340
98481254
104541152
112621920
12162bb94
13c2cc95
14862d20
155ea7d7
hex454ae0

4541152 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1658880.

The previous prime is 4541149. The next prime is 4541153. The reversal of 4541152 is 2511454.

It is a super-2 number, since 2×45411522 = 41244122974208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4541153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46768 + ... + 46864.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 24541152 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 4541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

4541152 is an abundant number, since it is smaller than the sum of its proper divisors (7312928).

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

4541152 is a wasteful number, since it uses less digits than its factorization.

4541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 4541152 is about 2130.9978883143. The cubic root of 4541152 is about 165.5980987280.

The spelling of 4541152 in words is "four million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 97 112 133 152 154 176 194 209 224 266 304 308 352 388 418 532 608 616 679 776 836 1064 1067 1232 1358 1463 1552 1672 1843 2128 2134 2464 2716 2926 3104 3344 3686 4256 4268 5432 5852 6688 7372 7469 8536 10864 11704 12901 14744 14938 17072 20273 21728 23408 25802 29488 29876 34144 40546 46816 51604 58976 59752 81092 103208 119504 141911 162184 206416 239008 283822 324368 412832 567644 648736 1135288 2270576 4541152