Search a number
-
+
48612080 = 24511371493
BaseRepresentation
bin1011100101110…
…0001011110000
310101110202020102
42321130023300
544421041310
64453531532
71130124116
oct271341360
9111422212
1048612080
1125492a80
1214343ba8
13a0c075a
146655ab6
1544038a5
hex2e5c2f0

48612080 has 80 divisors (see below), whose sum is σ = 126715104. Its totient is φ = 17187840.

The previous prime is 48612073. The next prime is 48612103. The reversal of 48612080 is 8021684.

48612080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31814 + ... + 33306.

Almost surely, 248612080 is an apocalyptic number.

48612080 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 48612080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63357552).

48612080 is an abundant number, since it is smaller than the sum of its proper divisors (78103024).

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

48612080 is a wasteful number, since it uses less digits than its factorization.

48612080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48612080 is about 6972.2363700609. The cubic root of 48612080 is about 364.9623530321.

The spelling of 48612080 in words is "forty-eight million, six hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1493 1628 2035 2960 2986 3256 4070 5972 6512 7465 8140 11944 14930 16280 16423 23888 29860 32560 32846 55241 59720 65692 82115 110482 119440 131384 164230 220964 262768 276205 328460 441928 552410 607651 656920 883856 1104820 1215302 1313840 2209640 2430604 3038255 4419280 4861208 6076510 9722416 12153020 24306040 48612080