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48583040 = 2751167103
BaseRepresentation
bin1011100101010…
…1000110000000
310101102021101212
42321111012000
544414124130
64453145252
71126643342
oct271250600
9111367355
1048583040
1125473180
121432b228
13a0b047c
146649292
1543e9e95
hex2e55180

48583040 has 128 divisors (see below), whose sum is σ = 129841920. Its totient is φ = 17233920.

The previous prime is 48583013. The next prime is 48583043. The reversal of 48583040 is 4038584.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48582988 and 48583006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48583043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471629 + ... + 471731.

It is an arithmetic number, because the mean of its divisors is an integer number (1014390).

Almost surely, 248583040 is an apocalyptic number.

48583040 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 48583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64920960).

48583040 is an abundant number, since it is smaller than the sum of its proper divisors (81258880).

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

48583040 is a wasteful number, since it uses less digits than its factorization.

48583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 48583040 is about 6970.1535133740. The cubic root of 48583040 is about 364.8896645297.

The spelling of 48583040 in words is "forty-eight million, five hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 103 110 128 134 160 176 206 220 268 320 335 352 412 440 515 536 640 670 704 737 824 880 1030 1072 1133 1340 1408 1474 1648 1760 2060 2144 2266 2680 2948 3296 3520 3685 4120 4288 4532 5360 5665 5896 6592 6901 7040 7370 8240 8576 9064 10720 11330 11792 13184 13802 14740 16480 18128 21440 22660 23584 27604 29480 32960 34505 36256 42880 45320 47168 55208 58960 65920 69010 72512 75911 90640 94336 110416 117920 138020 145024 151822 181280 220832 235840 276040 303644 362560 379555 441664 471680 552080 607288 725120 759110 883328 1104160 1214576 1518220 2208320 2429152 3036440 4416640 4858304 6072880 9716608 12145760 24291520 48583040