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48077712 = 243437097
BaseRepresentation
bin1011011101100…
…1101110010000
310100110121020000
42313121232100
544301441322
64434250000
71122440154
oct267315620
9110417200
1048077712
1125158551
1214126900
139c64467
146557064
15434a3ac
hex2dd9b90

48077712 has 50 divisors (see below), whose sum is σ = 139154598. Its totient is φ = 16025472.

The previous prime is 48077693. The next prime is 48077713. The reversal of 48077712 is 21777084.

It can be written as a sum of positive squares in only one way, i.e., 34857216 + 13220496 = 5904^2 + 3636^2 .

It is a super-3 number, since 3×480777123 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48077713) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17253 + ... + 19844.

Almost surely, 248077712 is an apocalyptic number.

It is an amenable number.

48077712 is an abundant number, since it is smaller than the sum of its proper divisors (91076886).

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

48077712 is a wasteful number, since it uses less digits than its factorization.

48077712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37117 (or 37102 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 48077712 is about 6933.8093426341. The cubic root of 48077712 is about 363.6201407005.

The spelling of 48077712 in words is "forty-eight million, seventy-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 37097 74194 111291 148388 222582 296776 333873 445164 593552 667746 890328 1001619 1335492 1780656 2003238 2670984 3004857 4006476 5341968 6009714 8012952 12019428 16025904 24038856 48077712