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48978450 = 23252313511
BaseRepresentation
bin1011101011010…
…1101000010010
310102011100210200
42322311220102
5100014302300
64505440030
71133211213
oct272655022
9112140720
1048978450
1125713264
12144a0016
13a1bb441
14670d40a
154477200
hex2eb5a12

48978450 has 72 divisors (see below), whose sum is σ = 135872256. Its totient is φ = 12636000.

The previous prime is 48978443. The next prime is 48978451. The reversal of 48978450 is 5487984.

48978450 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 48978396 and 48978405.

It is not an unprimeable number, because it can be changed into a prime (48978451) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 12195 + ... + 15705.

Almost surely, 248978450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48978450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67936128).

48978450 is an abundant number, since it is smaller than the sum of its proper divisors (86893806).

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

48978450 is a wasteful number, since it uses less digits than its factorization.

48978450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 48978450 is about 6998.4605450056. The cubic root of 48978450 is about 365.8769182123.

The spelling of 48978450 in words is "forty-eight million, nine hundred seventy-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 3511 4650 6975 7022 10533 13950 17555 21066 31599 35110 52665 63198 87775 105330 108841 157995 175550 217682 263325 315990 326523 526650 544205 653046 789975 979569 1088410 1579950 1632615 1959138 2721025 3265230 4897845 5442050 8163075 9795690 16326150 24489225 48978450