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48760440 = 23353471171
BaseRepresentation
bin1011101000000…
…0011001111000
310101202021202020
42322000121320
544440313230
64501034440
71131312501
oct272003170
9111667666
1048760440
1125584493
12143b5a20
13a143141
146693ba8
154432810
hex2e80678

48760440 has 64 divisors (see below), whose sum is σ = 146828160. Its totient is φ = 12954240.

The previous prime is 48760429. The next prime is 48760447. The reversal of 48760440 is 4406784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48760447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41055 + ... + 42225.

It is an arithmetic number, because the mean of its divisors is an integer number (2294190).

Almost surely, 248760440 is an apocalyptic number.

48760440 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 48760440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73414080).

48760440 is an abundant number, since it is smaller than the sum of its proper divisors (98067720).

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

48760440 is a wasteful number, since it uses less digits than its factorization.

48760440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 48760440 is about 6982.8676057906. The cubic root of 48760440 is about 365.3332541543. Note that the first 3 decimals are identical.

The spelling of 48760440 in words is "forty-eight million, seven hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1171 1388 1735 2082 2342 2776 3470 3513 4164 4684 5205 5855 6940 7026 8328 9368 10410 11710 13880 14052 17565 20820 23420 28104 35130 41640 46840 70260 140520 406337 812674 1219011 1625348 2031685 2438022 3250696 4063370 4876044 6095055 8126740 9752088 12190110 16253480 24380220 48760440