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48897360 = 24325113601
BaseRepresentation
bin1011101010000…
…1110101010000
310102000020120100
42322201311100
5100004203420
64504012400
71132422621
oct272416520
9112006510
1048897360
1125668346
1214461100
13a190565
1466cba48
15445d190
hex2ea1d50

48897360 has 120 divisors (see below), whose sum is σ = 165942504. Its totient is φ = 12902400.

The previous prime is 48897353. The next prime is 48897361. The reversal of 48897360 is 6379884.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 47279376 = 1272^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48897361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81060 + ... + 81660.

Almost surely, 248897360 is an apocalyptic number.

48897360 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 48897360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82971252).

48897360 is an abundant number, since it is smaller than the sum of its proper divisors (117045144).

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

48897360 is a wasteful number, since it uses less digits than its factorization.

48897360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48897360 is about 6992.6647281276. The cubic root of 48897360 is about 365.6748882178.

The spelling of 48897360 in words is "forty-eight million, eight hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 601 678 720 904 1017 1130 1202 1356 1695 1803 1808 2034 2260 2404 2712 3005 3390 3606 4068 4520 4808 5085 5409 5424 6010 6780 7212 8136 9015 9040 9616 10170 10818 12020 13560 14424 16272 18030 20340 21636 24040 27045 27120 28848 36060 40680 43272 48080 54090 67913 72120 81360 86544 108180 135826 144240 203739 216360 271652 339565 407478 432720 543304 611217 679130 814956 1018695 1086608 1222434 1358260 1629912 2037390 2444868 2716520 3056085 3259824 4074780 4889736 5433040 6112170 8149560 9779472 12224340 16299120 24448680 48897360