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54861072 = 24372331229
BaseRepresentation
bin1101000101000…
…1110100010000
310211020020020120
43101101310100
5103021023242
65235510240
71234211550
oct321216420
9124206216
1054861072
1128a70a32
1216458380
13b49ab96
147401160
154c3a1ec
hex3451d10

54861072 has 160 divisors (see below), whose sum is σ = 175226880. Its totient is φ = 14446080.

The previous prime is 54861067. The next prime is 54861089. The reversal of 54861072 is 27016845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239454 + ... + 239682.

It is an arithmetic number, because the mean of its divisors is an integer number (1095168).

Almost surely, 254861072 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 54861072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613440).

54861072 is an abundant number, since it is smaller than the sum of its proper divisors (120365808).

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

54861072 is a wasteful number, since it uses less digits than its factorization.

54861072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 54861072 is about 7406.8260408896. The cubic root of 54861072 is about 379.9747721017.

The spelling of 54861072 in words is "fifty-four million, eight hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 229 248 276 322 336 368 372 434 458 483 496 552 644 651 687 713 744 868 916 966 1104 1288 1302 1374 1426 1488 1603 1736 1832 1932 2139 2576 2604 2748 2852 3206 3472 3664 3864 4278 4809 4991 5208 5267 5496 5704 6412 7099 7728 8556 9618 9982 10416 10534 10992 11408 12824 14198 14973 15801 17112 19236 19964 21068 21297 25648 28396 29946 31602 34224 36869 38472 39928 42136 42594 49693 56792 59892 63204 73738 76944 79856 84272 85188 99386 110607 113584 119784 126408 147476 149079 163277 170376 198772 221214 239568 252816 294952 298158 326554 340752 397544 442428 489831 589904 596316 653108 795088 884856 979662 1142939 1192632 1306216 1769712 1959324 2285878 2385264 2612432 3428817 3918648 4571756 6857634 7837296 9143512 13715268 18287024 27430536 54861072