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4273152 = 210313107
BaseRepresentation
bin10000010011010000000000
322001002122220
4100103100000
52043220102
6231331040
751215112
oct20232000
98032586
104273152
112459534
121520a80
13b67cc0
147d33b2
155961bc
hex413400

4273152 has 88 divisors (see below), whose sum is σ = 12380256. Its totient is φ = 1302528.

The previous prime is 4273151. The next prime is 4273153. The reversal of 4273152 is 2513724.

It is an interprime number because it is at equal distance from previous prime (4273151) and next prime (4273153).

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

It is a d-powerful number, because it can be written as 411 + 23 + 73 + 35 + 1 + 57 + 27 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4273151) 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 7 ways as a sum of consecutive naturals, for example, 39883 + ... + 39989.

Almost surely, 24273152 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 4273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190128).

4273152 is an abundant number, since it is smaller than the sum of its proper divisors (8107104).

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

4273152 is a wasteful number, since it uses less digits than its factorization.

4273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 4273152 is about 2067.1603711372. The cubic root of 4273152 is about 162.2741889209.

Adding to 4273152 its reverse (2513724), we get a palindrome (6786876).

The spelling of 4273152 in words is "four million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 128 156 192 208 214 256 312 321 384 416 428 512 624 642 768 832 856 1024 1248 1284 1391 1536 1664 1712 2496 2568 2782 3072 3328 3424 4173 4992 5136 5564 6656 6848 8346 9984 10272 11128 13312 13696 16692 19968 20544 22256 27392 33384 39936 41088 44512 54784 66768 82176 89024 109568 133536 164352 178048 267072 328704 356096 534144 712192 1068288 1424384 2136576 4273152