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575095872 = 263131132039
BaseRepresentation
bin100010010001110…
…100010001000000
31111002010220020010
4202101310101000
52134211031442
6133022144520
720152143231
oct4221642100
91432126203
10575095872
1127569904a
12140722140
13921b9220
1456543088
153574db9c
hex22474440

575095872 has 112 divisors (see below), whose sum is σ = 1653966720. Its totient is φ = 175300608.

The previous prime is 575095817. The next prime is 575095879. The reversal of 575095872 is 278590575.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (575095879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281029 + ... + 283067.

It is an arithmetic number, because the mean of its divisors is an integer number (14767560).

Almost surely, 2575095872 is an apocalyptic number.

575095872 is a gapful number since it is divisible by the number (52) 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 575095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826983360).

575095872 is an abundant number, since it is smaller than the sum of its proper divisors (1078870848).

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

575095872 is a wasteful number, since it uses less digits than its factorization.

575095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The square root of 575095872 is about 23981.1566026328. The cubic root of 575095872 is about 831.5979628111.

The spelling of 575095872 in words is "five hundred seventy-five million, ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 156 192 208 226 312 339 416 452 624 678 832 904 1248 1356 1469 1808 2039 2496 2712 2938 3616 4078 4407 5424 5876 6117 7232 8156 8814 10848 11752 12234 16312 17628 21696 23504 24468 26507 32624 35256 47008 48936 53014 65248 70512 79521 94016 97872 106028 130496 141024 159042 195744 212056 230407 282048 318084 391488 424112 460814 636168 691221 848224 921628 1272336 1382442 1696448 1843256 2544672 2764884 2995291 3686512 5089344 5529768 5990582 7373024 8985873 11059536 11981164 14746048 17971746 22119072 23962328 35943492 44238144 47924656 71886984 95849312 143773968 191698624 287547936 575095872