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48650625 = 3454312
BaseRepresentation
bin1011100110010…
…1100110000001
310101112201010000
42321211212001
544423310000
64454430213
71130344362
oct271454601
9111481100
1048650625
1125509a31
1214362369
13a10516a
146665b69
154410000
hex2e65981

48650625 has 75 divisors (see below), whose sum is σ = 93839493. Its totient is φ = 25110000.

The previous prime is 48650551. The next prime is 48650627. The reversal of 48650625 is 52605684.

The square root of 48650625 is 6975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3814209 + 44836416 = 1953^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 48650625 - 217 = 48519553 is a prime.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 48650625.

It is not an unprimeable number, because it can be changed into a prime (48650627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1569360 + ... + 1569390.

Almost surely, 248650625 is an apocalyptic number.

48650625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48650625 is the 6975-th square number.

48650625 is the 3488-th centered octagonal number.

It is an amenable number.

48650625 is a deficient number, since it is larger than the sum of its proper divisors (45188868).

48650625 is an frugal number, since it uses more digits than its factorization.

48650625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The cubic root of 48650625 is about 365.0587883040.

Multiplying 48650625 by its sum of digits (36), we get a square (1751422500 = 418502).

Multiplying 48650625 by its product of nonzero digits (57600), we get a square (2802276000000 = 16740002).

The spelling of 48650625 in words is "forty-eight million, six hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 81 93 125 135 155 225 279 375 405 465 625 675 775 837 961 1125 1395 1875 2025 2325 2511 2883 3375 3875 4185 4805 5625 6975 8649 10125 11625 12555 14415 16875 19375 20925 24025 25947 34875 43245 50625 58125 62775 72075 77841 104625 120125 129735 174375 216225 313875 360375 389205 523125 600625 648675 1081125 1569375 1801875 1946025 3243375 5405625 9730125 16216875 48650625