Search a number
-
+
49600680 = 23351034013
BaseRepresentation
bin1011110100110…
…1100010101000
310110022222100020
42331031202220
5100144210210
64531040440
71141412253
oct275154250
9113288306
1049600680
1125aa87a8
1214740120
13a37871c
14683209a
15454b770
hex2f4d8a8

49600680 has 64 divisors (see below), whose sum is σ = 150284160. Its totient is φ = 13095168.

The previous prime is 49600667. The next prime is 49600687. The reversal of 49600680 is 8600694.

49600680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49600687) 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 15 ways as a sum of consecutive naturals, for example, 10354 + ... + 14366.

It is an arithmetic number, because the mean of its divisors is an integer number (2348190).

Almost surely, 249600680 is an apocalyptic number.

49600680 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 49600680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75142080).

49600680 is an abundant number, since it is smaller than the sum of its proper divisors (100683480).

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

49600680 is a wasteful number, since it uses less digits than its factorization.

49600680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49600680 is about 7042.7750212541. The cubic root of 49600680 is about 367.4197890564.

The spelling of 49600680 in words is "forty-nine million, six hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4013 4120 6180 8026 12039 12360 16052 20065 24078 32104 40130 48156 60195 80260 96312 120390 160520 240780 413339 481560 826678 1240017 1653356 2066695 2480034 3306712 4133390 4960068 6200085 8266780 9920136 12400170 16533560 24800340 49600680