Search a number
-
+
48795390 = 23257731061
BaseRepresentation
bin1011101000100…
…0111011111110
310101211001200200
42322020323332
544442423030
64501504330
71131516420
oct272107376
9111731620
1048795390
11255a8776
12144120a6
13a156017
1466a2810
15443cd60
hex2e88efe

48795390 has 96 divisors (see below), whose sum is σ = 147116736. Its totient is φ = 10990080.

The previous prime is 48795379. The next prime is 48795391. The reversal of 48795390 is 9359784.

48795390 is a `hidden beast` number, since 48 + 79 + 539 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48795391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45460 + ... + 46520.

It is an arithmetic number, because the mean of its divisors is an integer number (1532466).

Almost surely, 248795390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48795390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73558368).

48795390 is an abundant number, since it is smaller than the sum of its proper divisors (98321346).

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

48795390 is a wasteful number, since it uses less digits than its factorization.

48795390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 48795390 is about 6985.3697110461. The cubic root of 48795390 is about 365.4205198953.

The spelling of 48795390 in words is "forty-eight million, seven hundred ninety-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 438 511 630 657 730 1022 1061 1095 1314 1533 2122 2190 2555 3066 3183 3285 4599 5110 5305 6366 6570 7427 7665 9198 9549 10610 14854 15330 15915 19098 22281 22995 31830 37135 44562 45990 47745 66843 74270 77453 95490 111405 133686 154906 222810 232359 334215 387265 464718 542171 668430 697077 774530 1084342 1161795 1394154 1626513 2323590 2710855 3253026 3485385 4879539 5421710 6970770 8132565 9759078 16265130 24397695 48795390