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48432020 = 22571322389
BaseRepresentation
bin1011100011000…
…0001110010100
310101010121020112
42320300032110
544344311040
64450022152
71125444140
oct270601624
9111117215
1048432020
112537a76a
1214277958
13a059800
14660a220
1543ba365
hex2e30394

48432020 has 144 divisors (see below), whose sum is σ = 132814080. Its totient is φ = 14496768.

The previous prime is 48432019. The next prime is 48432049. The reversal of 48432020 is 2023484.

It is a super-2 number, since 2×484320202 = 4691321122560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 544136 + ... + 544224.

It is an arithmetic number, because the mean of its divisors is an integer number (922320).

Almost surely, 248432020 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 48432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

48432020 is an abundant number, since it is smaller than the sum of its proper divisors (84382060).

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

48432020 is a wasteful number, since it uses less digits than its factorization.

48432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 48432020 is about 6959.3117475796. The cubic root of 48432020 is about 364.5111865366.

The spelling of 48432020 in words is "forty-eight million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 89 91 92 115 130 140 161 169 178 182 230 260 299 322 338 356 364 445 455 460 598 623 644 676 805 845 890 910 1157 1183 1196 1246 1495 1610 1690 1780 1820 2047 2093 2314 2366 2492 2990 3115 3220 3380 3887 4094 4186 4628 4732 5785 5915 5980 6230 7774 8099 8188 8372 10235 10465 11570 11830 12460 14329 15041 15548 16198 19435 20470 20930 23140 23660 26611 27209 28658 30082 32396 38870 40495 40940 41860 53222 54418 57316 60164 71645 75205 77740 80990 105287 106444 108836 133055 136045 143290 150410 161980 186277 210574 266110 272090 286580 300820 345943 372554 421148 526435 532220 544180 691886 745108 931385 1052870 1383772 1729715 1862770 2105740 2421601 3459430 3725540 4843202 6918860 9686404 12108005 24216010 48432020