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4575040 = 26517292
BaseRepresentation
bin10001011100111101000000
322121102202221
4101130331000
52132400130
6242020424
753613211
oct21347500
98542687
104575040
112645328
121647714
13c42532
14871408
1560587a
hex45cf40

4575040 has 84 divisors (see below), whose sum is σ = 11946636. Its totient is φ = 1662976.

The previous prime is 4575017. The next prime is 4575047. The reversal of 4575040 is 405754.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 4528384 = 216^2 + 2128^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4574996 and 4575014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575047) 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, 157746 + ... + 157774.

Almost surely, 24575040 is an apocalyptic number.

4575040 is a gapful number since it is divisible by the number (40) 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 4575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973318).

4575040 is an abundant number, since it is smaller than the sum of its proper divisors (7371596).

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

4575040 is a wasteful number, since it uses less digits than its factorization.

4575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 4575040 is about 2138.9343140919. The cubic root of 4575040 is about 166.0089993669.

The spelling of 4575040 in words is "four million, five hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 136 145 160 170 232 272 290 320 340 464 493 544 580 680 841 928 986 1088 1160 1360 1682 1856 1972 2320 2465 2720 3364 3944 4205 4640 4930 5440 6728 7888 8410 9280 9860 13456 14297 15776 16820 19720 26912 28594 31552 33640 39440 53824 57188 67280 71485 78880 114376 134560 142970 157760 228752 269120 285940 457504 571880 915008 1143760 2287520 4575040