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48504420 = 2234579379
BaseRepresentation
bin1011100100000…
…1111001100100
310101021021120000
42321001321210
544404120140
64451341300
71126165206
oct271017144
9111237500
1048504420
112541a0a8
12142b1830
13a083753
146628776
1543d1a30
hex2e41e64

48504420 has 120 divisors (see below), whose sum is σ = 154492800. Its totient is φ = 12737088.

The previous prime is 48504389. The next prime is 48504427. The reversal of 48504420 is 2440584.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48504427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127791 + ... + 128169.

It is an arithmetic number, because the mean of its divisors is an integer number (1287440).

Almost surely, 248504420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77246400).

48504420 is an abundant number, since it is smaller than the sum of its proper divisors (105988380).

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

48504420 is a wasteful number, since it uses less digits than its factorization.

48504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 48504420 is about 6964.5114688684. The cubic root of 48504420 is about 364.6927294536.

48504420 divided by its sum of digits (27) gives a triangular number (1796460 = T1895).

The spelling of 48504420 in words is "forty-eight million, five hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 379 395 405 474 540 711 758 790 810 948 1137 1185 1422 1516 1580 1620 1895 2133 2274 2370 2844 3411 3555 3790 4266 4548 4740 5685 6399 6822 7110 7580 8532 10233 10665 11370 12798 13644 14220 17055 20466 21330 22740 25596 29941 30699 31995 34110 40932 42660 51165 59882 61398 63990 68220 89823 102330 119764 122796 127980 149705 153495 179646 204660 269469 299410 306990 359292 449115 538938 598820 613980 808407 898230 1077876 1347345 1616814 1796460 2425221 2694690 3233628 4042035 4850442 5389380 8084070 9700884 12126105 16168140 24252210 48504420