Search a number
-
+
54497664 = 2733131213
BaseRepresentation
bin1100111111100…
…1000110000000
310210112202202000
43033321012000
5102422411124
65224024000
71231136214
oct317710600
9123482660
1054497664
11288429a1
1216302000
13b3a1650
147348944
154bb76c9
hex33f9180

54497664 has 128 divisors (see below), whose sum is σ = 173359200. Its totient is φ = 16754688.

The previous prime is 54497647. The next prime is 54497687. The reversal of 54497664 is 46679445.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44322 + ... + 45534.

Almost surely, 254497664 is an apocalyptic number.

54497664 is a gapful number since it is divisible by the number (54) 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 54497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86679600).

54497664 is an abundant number, since it is smaller than the sum of its proper divisors (118861536).

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

54497664 is a wasteful number, since it uses less digits than its factorization.

54497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1231 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 54497664 is about 7382.2533145375. The cubic root of 54497664 is about 379.1339093278.

It can be divided in two parts, 54 and 497664, that multiplied together give a 4-th power (26873856 = 724).

The spelling of 54497664 in words is "fifty-four million, four hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1213 1248 1404 1664 1728 1872 2426 2496 2808 3456 3639 3744 4852 4992 5616 7278 7488 9704 10917 11232 14556 14976 15769 19408 21834 22464 29112 31538 32751 38816 43668 44928 47307 58224 63076 65502 77632 87336 94614 116448 126152 131004 141921 155264 174672 189228 232896 252304 262008 283842 349344 378456 425763 465792 504608 524016 567684 698688 756912 851526 1009216 1048032 1135368 1397376 1513824 1703052 2018432 2096064 2270736 3027648 3406104 4192128 4541472 6055296 6812208 9082944 13624416 18165888 27248832 54497664