Search a number
-
+
48690432 = 283273019
BaseRepresentation
bin1011100110111…
…1010100000000
310101121201201100
42321233110000
544431043212
64455334400
71130601420
oct271572400
9111551640
1048690432
112553692a
1214381400
13a11a30b
146676480
15441bbdc
hex2e6f500

48690432 has 108 divisors (see below), whose sum is σ = 160494880. Its totient is φ = 13906944.

The previous prime is 48690427. The next prime is 48690437. The reversal of 48690432 is 23409684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48690427) and next prime (48690437).

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48690437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14619 + ... + 17637.

Almost surely, 248690432 is an apocalyptic number.

48690432 is a gapful number since it is divisible by the number (42) 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 48690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80247440).

48690432 is an abundant number, since it is smaller than the sum of its proper divisors (111804448).

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

48690432 is a wasteful number, since it uses less digits than its factorization.

48690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48690432 is about 6977.8529649169. The cubic root of 48690432 is about 365.1583275086.

The spelling of 48690432 in words is "forty-eight million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 3019 4032 5376 6038 8064 9057 12076 16128 18114 21133 24152 27171 36228 42266 48304 54342 63399 72456 84532 96608 108684 126798 144912 169064 190197 193216 217368 253596 289824 338128 380394 386432 434736 507192 579648 676256 760788 772864 869472 1014384 1159296 1352512 1521576 1738944 2028768 2318592 2705024 3043152 3477888 4057536 5410048 6086304 6955776 8115072 12172608 16230144 24345216 48690432