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48470200 = 23522341257
BaseRepresentation
bin1011100011100…
…1100010111000
310101012112121121
42320321202320
544402021300
64450515024
71125663352
oct270714270
9111175547
1048470200
11253a6419
1214295a74
13a070cbc
14661a0d2
1543c681a
hex2e398b8

48470200 has 96 divisors (see below), whose sum is σ = 120929760. Its totient is φ = 18022400.

The previous prime is 48470183. The next prime is 48470237. The reversal of 48470200 is 207484.

48470200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188472 + ... + 188728.

It is an arithmetic number, because the mean of its divisors is an integer number (1259685).

Almost surely, 248470200 is an apocalyptic number.

48470200 is a gapful number since it is divisible by the number (40) 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 48470200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60464880).

48470200 is an abundant number, since it is smaller than the sum of its proper divisors (72459560).

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

48470200 is a wasteful number, since it uses less digits than its factorization.

48470200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 48470200 is about 6962.0542945312. The cubic root of 48470200 is about 364.6069453732.

Adding to 48470200 its reverse (207484), we get a palindrome (48677684).

The spelling of 48470200 in words is "forty-eight million, four hundred seventy thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 41 46 50 82 92 100 115 164 184 200 205 230 257 328 410 460 514 575 820 920 943 1025 1028 1150 1285 1640 1886 2050 2056 2300 2570 3772 4100 4600 4715 5140 5911 6425 7544 8200 9430 10280 10537 11822 12850 18860 21074 23575 23644 25700 29555 37720 42148 47150 47288 51400 52685 59110 84296 94300 105370 118220 147775 188600 210740 236440 242351 263425 295550 421480 484702 526850 591100 969404 1053700 1182200 1211755 1938808 2107400 2423510 4847020 6058775 9694040 12117550 24235100 48470200