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4765152 = 253721013
BaseRepresentation
bin10010001011010111100000
322222002120010
4102023113200
52204441102
6250044520
755334400
oct22132740
98862503
104765152
112765147
121719740
13caac22
148c0800
15641d6c
hex48b5e0

4765152 has 72 divisors (see below), whose sum is σ = 14565096. Its totient is φ = 1360128.

The previous prime is 4765141. The next prime is 4765157. The reversal of 4765152 is 2515674.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4198 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (202293).

Almost surely, 24765152 is an apocalyptic number.

4765152 is a gapful number since it is divisible by the number (42) 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 4765152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282548).

4765152 is an abundant number, since it is smaller than the sum of its proper divisors (9799944).

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

4765152 is a wasteful number, since it uses less digits than its factorization.

4765152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1025 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 4765152 is about 2182.9228112785. The cubic root of 4765152 is about 168.2773197506.

The spelling of 4765152 in words is "four million, seven hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1013 1176 1568 2026 2352 3039 4052 4704 6078 7091 8104 12156 14182 16208 21273 24312 28364 32416 42546 48624 49637 56728 85092 97248 99274 113456 148911 170184 198548 226912 297822 340368 397096 595644 680736 794192 1191288 1588384 2382576 4765152