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2575872 = 29321343
BaseRepresentation
bin1001110100111000000000
311211212102200
421310320000
51124411442
6131113200
730615555
oct11647000
94755380
102575872
1114aa322
12a42800
136c25b0
144b0a2c
1535d34c
hex274e00

2575872 has 120 divisors (see below), whose sum is σ = 8192184. Its totient is φ = 774144.

The previous prime is 2575871. The next prime is 2575877. The reversal of 2575872 is 2785752.

2575872 is a `hidden beast` number, since 2 + 575 + 87 + 2 = 666.

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

Its product of digits (39200) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575871) 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, 59883 + ... + 59925.

22575872 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 2575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096092).

2575872 is an abundant number, since it is smaller than the sum of its proper divisors (5616312).

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

2575872 is a wasteful number, since it uses less digits than its factorization.

2575872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 2575872 is about 1604.9523357408. The cubic root of 2575872 is about 137.0802094818.

The spelling of 2575872 in words is "two million, five hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 64 72 78 86 96 104 117 128 129 144 156 172 192 208 234 256 258 288 312 344 384 387 416 468 512 516 559 576 624 688 768 774 832 936 1032 1118 1152 1248 1376 1536 1548 1664 1677 1872 2064 2236 2304 2496 2752 3096 3328 3354 3744 4128 4472 4608 4992 5031 5504 6192 6656 6708 7488 8256 8944 9984 10062 11008 12384 13416 14976 16512 17888 19968 20124 22016 24768 26832 29952 33024 35776 40248 49536 53664 59904 66048 71552 80496 99072 107328 143104 160992 198144 214656 286208 321984 429312 643968 858624 1287936 2575872