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54712944 = 243211132657
BaseRepresentation
bin1101000010110…
…1101001110000
310210221201001100
43100231221300
5103001303234
65232404400
71233023646
oct320555160
9123851040
1054712944
112897a710
12163a6700
13b448630
1473a3196
154c0b399
hex342da70

54712944 has 120 divisors (see below), whose sum is σ = 179957232. Its totient is φ = 15298560.

The previous prime is 54712943. The next prime is 54712969. The reversal of 54712944 is 44921745.

It is a happy number.

It is a super-2 number, since 2×547129442 = 5987012482294272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54712899 and 54712908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54712943) 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, 19264 + ... + 21920.

Almost surely, 254712944 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 54712944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89978616).

54712944 is an abundant number, since it is smaller than the sum of its proper divisors (125244288).

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

54712944 is a wasteful number, since it uses less digits than its factorization.

54712944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2686 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 54712944 is about 7396.8198572089. The cubic root of 54712944 is about 379.6324793819.

The spelling of 54712944 in words is "fifty-four million, seven hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 2657 3432 5148 5314 6864 7971 10296 10628 15942 20592 21256 23913 29227 31884 34541 42512 47826 58454 63768 69082 87681 95652 103623 116908 127536 138164 175362 191304 207246 233816 263043 276328 310869 350724 379951 382608 414492 467632 526086 552656 621738 701448 759902 828984 1052172 1139853 1243476 1402896 1519804 1657968 2104344 2279706 2486952 3039608 3419559 4208688 4559412 4973904 6079216 6839118 9118824 13678236 18237648 27356472 54712944