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54316440 = 23335192647
BaseRepresentation
bin1100111100110…
…0110110011000
310210012120011000
43033030312120
5102401111230
65220105000
71226452653
oct317146630
9123176130
1054316440
1128729822
1216235160
13b33a009
1472dc89a
154b7db60
hex33ccd98

54316440 has 128 divisors (see below), whose sum is σ = 190656000. Its totient is φ = 13716864.

The previous prime is 54316429. The next prime is 54316441. The reversal of 54316440 is 4461345.

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 (54316441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19197 + ... + 21843.

It is an arithmetic number, because the mean of its divisors is an integer number (1489500).

Almost surely, 254316440 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 54316440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95328000).

54316440 is an abundant number, since it is smaller than the sum of its proper divisors (136339560).

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

54316440 is a wasteful number, since it uses less digits than its factorization.

54316440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2676 counting only the distinct ones).

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

The square root of 54316440 is about 7369.9687923356. The cubic root of 54316440 is about 378.7131912077.

Adding to 54316440 its reverse (4461345), we get a palindrome (58777785).

It can be divided in two parts, 54316 and 440, that added together give a square (54756 = 2342).

The spelling of 54316440 in words is "fifty-four million, three hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 2647 3420 4104 5130 5294 6840 7941 10260 10588 13235 15882 20520 21176 23823 26470 31764 39705 47646 50293 52940 63528 71469 79410 95292 100586 105880 119115 142938 150879 158820 190584 201172 238230 251465 285876 301758 317640 357345 402344 452637 476460 502930 571752 603516 714690 754395 905274 952920 1005860 1207032 1357911 1429380 1508790 1810548 2011720 2263185 2715822 2858760 3017580 3621096 4526370 5431644 6035160 6789555 9052740 10863288 13579110 18105480 27158220 54316440