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54421632 = 273429181
BaseRepresentation
bin1100111110011…
…0100010000000
310210101220110000
43033212202000
5102412443012
65222240000
71230401436
oct317464200
9123356400
1054421632
11287a0861
1216286000
13b375b65
147328d56
154b9eddc
hex33e6880

54421632 has 160 divisors (see below), whose sum is σ = 168468300. Its totient is φ = 17418240.

The previous prime is 54421613. The next prime is 54421639. The reversal of 54421632 is 23612445.

54421632 is a `hidden beast` number, since 5 + 4 + 4 + 21 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 5645376 = 6984^2 + 2376^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 54421596 and 54421605.

It is not an unprimeable number, because it can be changed into a prime (54421639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300582 + ... + 300762.

Almost surely, 254421632 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 54421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84234150).

54421632 is an abundant number, since it is smaller than the sum of its proper divisors (114046668).

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

54421632 is a wasteful number, since it uses less digits than its factorization.

54421632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

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

The square root of 54421632 is about 7377.1018699758. The cubic root of 54421632 is about 378.9575120092.

The spelling of 54421632 in words is "fifty-four million, four hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 181 192 216 232 261 288 324 348 362 384 432 464 522 543 576 648 696 724 783 864 928 1044 1086 1152 1296 1392 1448 1566 1629 1728 1856 2088 2172 2349 2592 2784 2896 3132 3258 3456 3712 4176 4344 4698 4887 5184 5249 5568 5792 6264 6516 8352 8688 9396 9774 10368 10498 11136 11584 12528 13032 14661 15747 16704 17376 18792 19548 20996 23168 25056 26064 29322 31494 33408 34752 37584 39096 41992 47241 50112 52128 58644 62988 69504 75168 78192 83984 94482 100224 104256 117288 125976 141723 150336 156384 167968 188964 208512 234576 251952 283446 300672 312768 335936 377928 425169 469152 503904 566892 625536 671872 755856 850338 938304 1007808 1133784 1511712 1700676 1876608 2015616 2267568 3023424 3401352 4535136 6046848 6802704 9070272 13605408 18140544 27210816 54421632