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48418040 = 23511176473
BaseRepresentation
bin1011100010110…
…0110011111000
310101002220001202
42320230303320
544343334130
64445433332
71125355316
oct270546370
9111086052
1048418040
1125370210
121426b848
13a053338
1466050b6
1543b6145
hex2e2ccf8

48418040 has 64 divisors (see below), whose sum is σ = 125854560. Its totient is φ = 16568320.

The previous prime is 48418039. The next prime is 48418049. The reversal of 48418040 is 4081484.

It is a junction number, because it is equal to n+sod(n) for n = 48417994 and 48418012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48418049) 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, 4244 + ... + 10716.

Almost surely, 248418040 is an apocalyptic number.

48418040 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 48418040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62927280).

48418040 is an abundant number, since it is smaller than the sum of its proper divisors (77436520).

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

48418040 is a wasteful number, since it uses less digits than its factorization.

48418040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 48418040 is about 6958.3072654202. The cubic root of 48418040 is about 364.4761108658.

The spelling of 48418040 in words is "forty-eight million, four hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 6473 7480 12946 25892 32365 51784 64730 71203 110041 129460 142406 220082 258920 284812 356015 440164 550205 569624 712030 880328 1100410 1210451 1424060 2200820 2420902 2848120 4401640 4841804 6052255 9683608 12104510 24209020 48418040