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575440128 = 28322310859
BaseRepresentation
bin100010010011001…
…000010100000000
31111002210101110100
4202103020110000
52134303041003
6133033402400
720155106004
oct4223102400
91432711410
10575440128
1127590375a
12140869400
13922a9b23
14565d2704
15357baba3
hex224c8500

575440128 has 108 divisors (see below), whose sum is σ = 1731431520. Its totient is φ = 183456768.

The previous prime is 575440109. The next prime is 575440139. The reversal of 575440128 is 821044575.

It is a super-2 number, since 2×5754401282 = 662262681825312768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 575440092 and 575440101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47563 + ... + 58421.

Almost surely, 2575440128 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 575440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865715760).

575440128 is an abundant number, since it is smaller than the sum of its proper divisors (1155991392).

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

575440128 is a wasteful number, since it uses less digits than its factorization.

575440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10904 (or 10887 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 575440128 is about 23988.3331642697. Note that the first 3 decimals coincide. The cubic root of 575440128 is about 831.7638629665.

The spelling of 575440128 in words is "five hundred seventy-five million, four hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 10859 13248 17664 21718 26496 32577 43436 52992 65154 86872 97731 130308 173744 195462 249757 260616 347488 390924 499514 521232 694976 749271 781848 999028 1042464 1389952 1498542 1563696 1998056 2084928 2247813 2779904 2997084 3127392 3996112 4169856 4495626 5994168 6254784 7992224 8339712 8991252 11988336 12509568 15984448 17982504 23976672 25019136 31968896 35965008 47953344 63937792 71930016 95906688 143860032 191813376 287720064 575440128