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64031472 = 243543383
BaseRepresentation
bin1111010001000…
…0101011110000
311110111010200000
43310100223300
5112343001342
610204230000
71405154451
oct364205360
9143433600
1064031472
113316487a
121953b300
131035bc5b
14870b128
15594c44c
hex3d10af0

64031472 has 120 divisors (see below), whose sum is σ = 190654464. Its totient is φ = 20793024.

The previous prime is 64031459. The next prime is 64031477. The reversal of 64031472 is 27413046.

64031472 is a `hidden beast` number, since 640 + 3 + 14 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64031477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166993 + ... + 167375.

Almost surely, 264031472 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 64031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

64031472 is an abundant number, since it is smaller than the sum of its proper divisors (126622992).

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

64031472 is a wasteful number, since it uses less digits than its factorization.

64031472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 64031472 is about 8001.9667582414. The cubic root of 64031472 is about 400.0655559221.

It can be divided in two parts, 6403 and 1472, that added together give a triangular number (7875 = T125).

The spelling of 64031472 in words is "sixty-four million, thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 243 258 324 344 383 387 432 486 516 648 688 766 774 972 1032 1149 1161 1296 1532 1548 1944 2064 2298 2322 3064 3096 3447 3483 3888 4596 4644 6128 6192 6894 6966 9192 9288 10341 10449 13788 13932 16469 18384 18576 20682 20898 27576 27864 31023 32938 41364 41796 49407 55152 55728 62046 65876 82728 83592 93069 98814 124092 131752 148221 165456 167184 186138 197628 248184 263504 296442 372276 395256 444663 496368 592884 744552 790512 889326 1185768 1333989 1489104 1778652 2371536 2667978 3557304 4001967 5335956 7114608 8003934 10671912 16007868 21343824 32015736 64031472