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4200352 = 251323439
BaseRepresentation
bin10000000001011110100000
321220101210121
4100001132200
52033402402
6230010024
750462632
oct20013640
97811717
104200352
112409872
1214a6914
13b40b20
147b4a52
1557e837
hex4017a0

4200352 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1850112.

The previous prime is 4200341. The next prime is 4200397. The reversal of 4200352 is 2530024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9349 + ... + 9787.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 24200352 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 4200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

4200352 is an abundant number, since it is smaller than the sum of its proper divisors (5113568).

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

4200352 is a wasteful number, since it uses less digits than its factorization.

4200352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4200352 is about 2049.4760305990. The cubic root of 4200352 is about 161.3473718328.

Adding to 4200352 its reverse (2530024), we get a palindrome (6730376).

The spelling of 4200352 in words is "four million, two hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 439 598 736 878 1196 1756 2392 3512 4784 5707 7024 9568 10097 11414 14048 20194 22828 40388 45656 80776 91312 131261 161552 182624 262522 323104 525044 1050088 2100176 4200352