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48147480 = 23335109409
BaseRepresentation
bin1011011110101…
…0110000011000
310100121010221000
42313222300120
544311204410
64435545000
71123150443
oct267526030
9110533830
1048147480
11251a5a07
121415b160
139c8a144
14657465a
154360dc0
hex2deac18

48147480 has 128 divisors (see below), whose sum is σ = 162360000. Its totient is φ = 12690432.

The previous prime is 48147469. The next prime is 48147493. The reversal of 48147480 is 8474184.

It is a happy number.

48147480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 117516 + ... + 117924.

Almost surely, 248147480 is an apocalyptic number.

48147480 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 48147480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81180000).

48147480 is an abundant number, since it is smaller than the sum of its proper divisors (114212520).

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

48147480 is a wasteful number, since it uses less digits than its factorization.

48147480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48147480 is about 6938.8385195218. The cubic root of 48147480 is about 363.7959448820.

48147480 divided by its sum of digits (36) gives a triangular number (1337430 = T1635).

It can be divided in two parts, 481 and 47480, that added together give a square (47961 = 2192).

The spelling of 48147480 in words is "forty-eight million, one hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 109 120 135 180 216 218 270 327 360 409 436 540 545 654 818 872 981 1080 1090 1227 1308 1635 1636 1962 2045 2180 2454 2616 2943 3270 3272 3681 3924 4090 4360 4905 4908 5886 6135 6540 7362 7848 8180 9810 9816 11043 11772 12270 13080 14715 14724 16360 18405 19620 22086 23544 24540 29430 29448 36810 39240 44172 44581 49080 55215 58860 73620 88344 89162 110430 117720 133743 147240 178324 220860 222905 267486 356648 401229 441720 445810 534972 668715 802458 891620 1069944 1203687 1337430 1604916 1783240 2006145 2407374 2674860 3209832 4012290 4814748 5349720 6018435 8024580 9629496 12036870 16049160 24073740 48147480