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48621400 = 23522983101
BaseRepresentation
bin1011100101111…
…0011101011000
310101111020000121
42321132131120
544421341100
64454043024
71130163232
oct271363530
9111436017
1048621400
1125499a83
1214349474
13a0c4a79
146659252
15440651a
hex2e5e758

48621400 has 96 divisors (see below), whose sum is σ = 119523600. Its totient is φ = 18368000.

The previous prime is 48621383. The next prime is 48621401. The reversal of 48621400 is 412684.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48621401) 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, 481350 + ... + 481450.

Almost surely, 248621400 is an apocalyptic number.

48621400 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 48621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

48621400 is an abundant number, since it is smaller than the sum of its proper divisors (70902200).

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

48621400 is a wasteful number, since it uses less digits than its factorization.

48621400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 48621400 is about 6972.9047032065. The cubic root of 48621400 is about 364.9856752995.

The spelling of 48621400 in words is "forty-eight million, six hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 83 100 101 116 145 166 200 202 232 290 332 404 415 505 580 664 725 808 830 1010 1160 1450 1660 2020 2075 2407 2525 2900 2929 3320 4040 4150 4814 5050 5800 5858 8300 8383 9628 10100 11716 12035 14645 16600 16766 19256 20200 23432 24070 29290 33532 41915 48140 58580 60175 67064 73225 83830 96280 117160 120350 146450 167660 209575 240700 243107 292900 335320 419150 481400 486214 585800 838300 972428 1215535 1676600 1944856 2431070 4862140 6077675 9724280 12155350 24310700 48621400