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64526040 = 23325237793
BaseRepresentation
bin1111011000100…
…1011011011000
311111102021002100
43312021123120
5113004313130
610223003400
71412314365
oct366113330
9144367070
1064526040
1133472407
1219739560
13104a30b7
1487d946c
1559e8c60
hex3d896d8

64526040 has 96 divisors (see below), whose sum is σ = 218855520. Its totient is φ = 16456704.

The previous prime is 64526027. The next prime is 64526047. The reversal of 64526040 is 4062546.

It is a happy number.

64526040 is a `hidden beast` number, since 6 + 4 + 52 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64525995 and 64526013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64526047) 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, 4384 + ... + 12176.

It is an arithmetic number, because the mean of its divisors is an integer number (2279745).

Almost surely, 264526040 is an apocalyptic number.

64526040 is a gapful number since it is divisible by the number (60) 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 64526040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109427760).

64526040 is an abundant number, since it is smaller than the sum of its proper divisors (154329480).

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

64526040 is a wasteful number, since it uses less digits than its factorization.

64526040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64526040 is about 8032.8102180993. The cubic root of 64526040 is about 401.0929277194.

Adding to 64526040 its reverse (4062546), we get a palindrome (68588586).

The spelling of 64526040 in words is "sixty-four million, five hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 7793 8280 15586 23379 31172 38965 46758 62344 70137 77930 93516 116895 140274 155860 179239 187032 233790 280548 311720 350685 358478 467580 537717 561096 701370 716956 896195 935160 1075434 1402740 1433912 1613151 1792390 2150868 2688585 2805480 3226302 3584780 4301736 5377170 6452604 7169560 8065755 10754340 12905208 16131510 21508680 32263020 64526040