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4873152 = 263171493
BaseRepresentation
bin10010100101101111000000
3100011120201010
4102211233000
52221420102
6252240520
756264304
oct22455700
910146633
104873152
1128292a9
121770140
13101812b
1490bd04
15663d6c
hex4a5bc0

4873152 has 56 divisors (see below), whose sum is σ = 13661136. Its totient is φ = 1527808.

The previous prime is 4873151. The next prime is 4873157. The reversal of 4873152 is 2513784.

It is a super-2 number, since 2×48731522 = 47495220830208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4873151) 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, 2518 + ... + 4010.

Almost surely, 24873152 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 4873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830568).

4873152 is an abundant number, since it is smaller than the sum of its proper divisors (8787984).

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

4873152 is a wasteful number, since it uses less digits than its factorization.

4873152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1515 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 4873152 is about 2207.5216873227. The cubic root of 4873152 is about 169.5391439428.

The spelling of 4873152 in words is "four million, eight hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1493 1632 2986 3264 4479 5972 8958 11944 17916 23888 25381 35832 47776 50762 71664 76143 95552 101524 143328 152286 203048 286656 304572 406096 609144 812192 1218288 1624384 2436576 4873152