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2385152 = 287113
BaseRepresentation
bin1001000110010100000000
311111011210222
421012110000
51102311102
6123042212
726162540
oct11062400
94434728
102385152
11138a000
12970368
13656843
14461320
15321aa2
hex246500

2385152 has 72 divisors (see below), whose sum is σ = 5984832. Its totient is φ = 929280.

The previous prime is 2385139. The next prime is 2385157. The reversal of 2385152 is 2515832.

Its product of digits (2400) is a multiple of the sum of its prime divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216827 + ... + 216837.

22385152 is an apocalyptic number.

2385152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992416).

2385152 is an abundant number, since it is smaller than the sum of its proper divisors (3599680).

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

2385152 is an frugal number, since it uses more digits than its factorization.

2385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 20 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 2385152 is about 1544.3937321810. The cubic root of 2385152 is about 133.6099147625.

The spelling of 2385152 in words is "two million, three hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 704 847 896 968 1232 1331 1408 1694 1792 1936 2464 2662 2816 3388 3872 4928 5324 6776 7744 9317 9856 10648 13552 15488 18634 19712 21296 27104 30976 37268 42592 54208 74536 85184 108416 149072 170368 216832 298144 340736 596288 1192576 2385152