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48753400 = 2352435669
BaseRepresentation
bin1011100111111…
…0101011111000
310101201221002111
42321332223320
544440102100
64500542104
71131253123
oct271765370
9111657074
1048753400
112557a173
12143b1934
13a13cb87
1466913ba
1544306ba
hex2e7eaf8

48753400 has 48 divisors (see below), whose sum is σ = 116008200. Its totient is φ = 19044480.

The previous prime is 48753337. The next prime is 48753401. The reversal of 48753400 is 435784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48753401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5766 + ... + 11434.

Almost surely, 248753400 is an apocalyptic number.

48753400 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 48753400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58004100).

48753400 is an abundant number, since it is smaller than the sum of its proper divisors (67254800).

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

48753400 is a wasteful number, since it uses less digits than its factorization.

48753400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 48753400 is about 6982.3634966965. The cubic root of 48753400 is about 365.3156711170.

The spelling of 48753400 in words is "forty-eight million, seven hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 5669 8600 11338 22676 28345 45352 56690 113380 141725 226760 243767 283450 487534 566900 975068 1133800 1218835 1950136 2437670 4875340 6094175 9750680 12188350 24376700 48753400