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2532375648 = 253211799361
BaseRepresentation
bin1001011011110000…
…1111110001100000
320112111010000022200
42112330033301200
520141242010043
61055141333200
7116516560245
oct22674176140
96474100280
102532375648
11108a507340
125a8107200
1331485683a
141a047b5cc
15ec4c37d3
hex96f0fc60

2532375648 has 72 divisors (see below), whose sum is σ = 7856129736. Its totient is φ = 767385600.

The previous prime is 2532375631. The next prime is 2532375649. The reversal of 2532375648 is 8465732352.

2532375648 is a `hidden beast` number, since 2 + 53 + 2 + 37 + 564 + 8 = 666.

2532375648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532375649) 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, 396513 + ... + 402848.

It is an arithmetic number, because the mean of its divisors is an integer number (109112913).

Almost surely, 22532375648 is an apocalyptic number.

It is an amenable number.

2532375648 is an abundant number, since it is smaller than the sum of its proper divisors (5323754088).

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

2532375648 is a wasteful number, since it uses less digits than its factorization.

2532375648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799388 (or 799377 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2532375648 is about 50322.7150300935. The cubic root of 2532375648 is about 1363.0424332694.

The spelling of 2532375648 in words is "two billion, five hundred thirty-two million, three hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 799361 1598722 2398083 3197444 4796166 6394888 7194249 8792971 9592332 12789776 14388498 17585942 19184664 25579552 26378913 28776996 35171884 38369328 52757826 57553992 70343768 76738656 79136739 105515652 115107984 140687536 158273478 211031304 230215968 281375072 316546956 422062608 633093912 844125216 1266187824 2532375648