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4195152 = 24351383
BaseRepresentation
bin10000000000001101010000
321220010200000
4100000031100
52033221102
6225530000
750441523
oct20001520
97803600
104195152
112405975
1214a3900
13b3b650
147b2bba
1557d01c
hex400350

4195152 has 120 divisors (see below), whose sum is σ = 13269984. Its totient is φ = 1275264.

The previous prime is 4195129. The next prime is 4195157. The reversal of 4195152 is 2515914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4195157) 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 23 ways as a sum of consecutive naturals, for example, 50503 + ... + 50585.

Almost surely, 24195152 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 4195152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634992).

4195152 is an abundant number, since it is smaller than the sum of its proper divisors (9074832).

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

4195152 is a wasteful number, since it uses less digits than its factorization.

4195152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 4195152 is about 2048.2070207867. The cubic root of 4195152 is about 161.2807621137.

The spelling of 4195152 in words is "four million, one hundred ninety-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 83 104 108 117 144 156 162 166 208 216 234 243 249 312 324 332 351 432 468 486 498 624 648 664 702 747 936 972 996 1053 1079 1296 1328 1404 1494 1872 1944 1992 2106 2158 2241 2808 2988 3159 3237 3888 3984 4212 4316 4482 5616 5976 6318 6474 6723 8424 8632 8964 9711 11952 12636 12948 13446 16848 17264 17928 19422 20169 25272 25896 26892 29133 35856 38844 40338 50544 51792 53784 58266 77688 80676 87399 107568 116532 155376 161352 174798 233064 262197 322704 349596 466128 524394 699192 1048788 1398384 2097576 4195152