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48487725 = 325211213137
BaseRepresentation
bin1011100011110…
…1110100101101
310101020102122200
42320331310231
544403101400
64451132113
71126065426
oct270756455
9111212580
1048487725
1125408600
12142a4039
13a078c80
14662264d
1543cbb00
hex2e3dd2d

48487725 has 108 divisors (see below), whose sum is σ = 103553268. Its totient is φ = 21542400.

The previous prime is 48487709. The next prime is 48487781. The reversal of 48487725 is 52778484.

It can be written as a sum of positive squares in 6 ways, for example, as 4052169 + 44435556 = 2013^2 + 6666^2 .

It is not a de Polignac number, because 48487725 - 24 = 48487709 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 353857 + ... + 353993.

Almost surely, 248487725 is an apocalyptic number.

48487725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48487725 is an abundant number, since it is smaller than the sum of its proper divisors (55065543).

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

48487725 is a wasteful number, since it uses less digits than its factorization.

48487725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 48487725 is about 6963.3127891830. The cubic root of 48487725 is about 364.6508827944.

It can be divided in two parts, 484 and 87725, that added together give a square (88209 = 2972).

The spelling of 48487725 in words is "forty-eight million, four hundred eighty-seven thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 121 137 143 165 195 225 275 325 363 411 429 495 585 605 685 715 825 975 1089 1233 1287 1507 1573 1781 1815 2055 2145 2475 2925 3025 3425 3575 4521 4719 5343 5445 6165 6435 7535 7865 8905 9075 10275 10725 13563 14157 16029 16577 19591 22605 23595 26715 27225 30825 32175 37675 39325 44525 49731 58773 67815 70785 80145 82885 97955 113025 117975 133575 149193 176319 215501 248655 293865 339075 353925 400725 414425 489775 646503 745965 881595 1077505 1243275 1469325 1939509 3232515 3729825 4407975 5387525 9697545 16162575 48487725