Search a number
-
+
48060480 = 2635133851
BaseRepresentation
bin1011011101010…
…1100001000000
310100102201120210
42313111201000
544300413410
64434034120
71122336006
oct267254100
9110381523
1048060480
1125146606
1214118940
139c59670
146550a76
154345220
hex2dd5840

48060480 has 112 divisors (see below), whose sum is σ = 164372544. Its totient is φ = 11827200.

The previous prime is 48060469. The next prime is 48060491. The reversal of 48060480 is 8406084.

It is an interprime number because it is at equal distance from previous prime (48060469) and next prime (48060491).

It is a super-3 number, since 3×480604803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10555 + ... + 14405.

It is an arithmetic number, because the mean of its divisors is an integer number (1467612).

Almost surely, 248060480 is an apocalyptic number.

48060480 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 48060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82186272).

48060480 is an abundant number, since it is smaller than the sum of its proper divisors (116312064).

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

48060480 is a wasteful number, since it uses less digits than its factorization.

48060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48060480 is about 6932.5666242742. The cubic root of 48060480 is about 363.5766926330.

The spelling of 48060480 in words is "forty-eight million, sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 3851 4160 6240 7702 11553 12480 15404 19255 23106 30808 38510 46212 50063 57765 61616 77020 92424 100126 115530 123232 150189 154040 184848 200252 231060 246464 250315 300378 308080 369696 400504 462120 500630 600756 616160 739392 750945 801008 924240 1001260 1201512 1232320 1501890 1602016 1848480 2002520 2403024 3003780 3204032 3696960 4005040 4806048 6007560 8010080 9612096 12015120 16020160 24030240 48060480