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64801152 = 2732134327
BaseRepresentation
bin1111011100110…
…0100110000000
311111221020110200
43313030212000
5113042114102
610232525200
71414541433
oct367144600
9144836420
1064801152
1133640079
1219850800
131056b3a0
14886b81a
155a5051c
hex3dcc980

64801152 has 96 divisors (see below), whose sum is σ = 200862480. Its totient is φ = 19934208.

The previous prime is 64801117. The next prime is 64801157. The reversal of 64801152 is 25110846.

64801152 is a `hidden beast` number, since 648 + 0 + 1 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64801157) 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, 12813 + ... + 17139.

Almost surely, 264801152 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 64801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100431240).

64801152 is an abundant number, since it is smaller than the sum of its proper divisors (136061328).

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

64801152 is a wasteful number, since it uses less digits than its factorization.

64801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 64801152 is about 8049.9162728565. The cubic root of 64801152 is about 401.6621502412.

Adding to 64801152 its reverse (25110846), we get a palindrome (89911998).

The spelling of 64801152 in words is "sixty-four million, eight hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4327 4992 7488 8654 12981 14976 17308 25962 34616 38943 51924 56251 69232 77886 103848 112502 138464 155772 168753 207696 225004 276928 311544 337506 415392 450008 506259 553856 623088 675012 830784 900016 1012518 1246176 1350024 1661568 1800032 2025036 2492352 2700048 3600064 4050072 4984704 5400096 7200128 8100144 10800192 16200288 21600384 32400576 64801152