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49750960 = 2457731217
BaseRepresentation
bin1011110111001…
…0001110110000
310110121121111011
42331302032300
5100214012320
64534200304
71142606350
oct275621660
9113547434
1049750960
11260a06a6
12147b3094
13a3cbc4c
146870b60
15457b05a
hex2f723b0

49750960 has 80 divisors (see below), whose sum is σ = 134116416. Its totient is φ = 16809984.

The previous prime is 49750933. The next prime is 49750963. The reversal of 49750960 is 6905794.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (49750963) 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, 40272 + ... + 41488.

Almost surely, 249750960 is an apocalyptic number.

49750960 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 49750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67058208).

49750960 is an abundant number, since it is smaller than the sum of its proper divisors (84365456).

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

49750960 is a wasteful number, since it uses less digits than its factorization.

49750960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 49750960 is about 7053.4360421003. The cubic root of 49750960 is about 367.7904840772.

The spelling of 49750960 in words is "forty-nine million, seven hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1217 1460 2044 2434 2555 2920 4088 4868 5110 5840 6085 8176 8519 9736 10220 12170 17038 19472 20440 24340 34076 40880 42595 48680 68152 85190 88841 97360 136304 170380 177682 340760 355364 444205 621887 681520 710728 888410 1243774 1421456 1776820 2487548 3109435 3553640 4975096 6218870 7107280 9950192 12437740 24875480 49750960