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4228952 = 2371337157
BaseRepresentation
bin10000001000011101011000
321221212000212
4100020131120
52040311302
6230350252
750642210
oct20103530
97855025
104228952
112429302
1214bb388
13b50b50
147c1240
15588052
hex408758

4228952 has 64 divisors (see below), whose sum is σ = 10086720. Its totient is φ = 1617408.

The previous prime is 4228951. The next prime is 4228979. The reversal of 4228952 is 2598224.

It is a d-powerful number, because it can be written as 411 + 2 + 29 + 83 + 93 + 53 + 215 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228951) 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, 26858 + ... + 27014.

It is an arithmetic number, because the mean of its divisors is an integer number (157605).

Almost surely, 24228952 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 4228952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043360).

4228952 is an abundant number, since it is smaller than the sum of its proper divisors (5857768).

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

4228952 is a wasteful number, since it uses less digits than its factorization.

4228952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 4228952 is about 2056.4415868193. The cubic root of 4228952 is about 161.7127460434.

The spelling of 4228952 in words is "four million, two hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 157 182 259 296 314 364 481 518 628 728 962 1036 1099 1256 1924 2041 2072 2198 3367 3848 4082 4396 5809 6734 8164 8792 11618 13468 14287 16328 23236 26936 28574 40663 46472 57148 75517 81326 114296 151034 162652 302068 325304 528619 604136 1057238 2114476 4228952