Search a number
-
+
48150840 = 23351492693
BaseRepresentation
bin1011011110101…
…1100100111000
310100121022112110
42313223210320
544311311330
64440012320
71123163313
oct267534470
9110538473
1048150840
11251a8491
12141610a0
139c8b82a
14657597a
154361db0
hex2deb938

48150840 has 64 divisors (see below), whose sum is σ = 145476000. Its totient is φ = 12749312.

The previous prime is 48150827. The next prime is 48150847. The reversal of 48150840 is 4805184.

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

It is a junction number, because it is equal to n+sod(n) for n = 48150798 and 48150807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48150847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16534 + ... + 19226.

Almost surely, 248150840 is an apocalyptic number.

48150840 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 48150840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72738000).

48150840 is an abundant number, since it is smaller than the sum of its proper divisors (97325160).

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

48150840 is a wasteful number, since it uses less digits than its factorization.

48150840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 48150840 is about 6939.0806307464. The cubic root of 48150840 is about 363.8044072560.

The spelling of 48150840 in words is "forty-eight million, one hundred fifty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2693 2980 3576 4470 5386 5960 8079 8940 10772 13465 16158 17880 21544 26930 32316 40395 53860 64632 80790 107720 161580 323160 401257 802514 1203771 1605028 2006285 2407542 3210056 4012570 4815084 6018855 8025140 9630168 12037710 16050280 24075420 48150840