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49690400 = 2552179347
BaseRepresentation
bin1011110110001…
…1011100100000
310110111112102012
42331203130200
5100210043100
64533012052
71142234654
oct275433440
9113445365
1049690400
112605a151
1214784028
13a3aa506
146856a64
154568135
hex2f63720

49690400 has 72 divisors (see below), whose sum is σ = 122335920. Its totient is φ = 19708160.

The previous prime is 49690363. The next prime is 49690409. The reversal of 49690400 is 409694.

It is a happy number.

49690400 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 (32).

It is not an unprimeable number, because it can be changed into a prime (49690409) 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 11 ways as a sum of consecutive naturals, for example, 143027 + ... + 143373.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 249690400 is an apocalyptic number.

49690400 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 49690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61167960).

49690400 is an abundant number, since it is smaller than the sum of its proper divisors (72645520).

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

49690400 is a wasteful number, since it uses less digits than its factorization.

49690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 49690400 is about 7049.1417917361. The cubic root of 49690400 is about 367.6411909087.

The spelling of 49690400 in words is "forty-nine million, six hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 179 200 347 358 400 694 716 800 895 1388 1432 1735 1790 2776 2864 3470 3580 4475 5552 5728 6940 7160 8675 8950 11104 13880 14320 17350 17900 27760 28640 34700 35800 55520 62113 69400 71600 124226 138800 143200 248452 277600 310565 496904 621130 993808 1242260 1552825 1987616 2484520 3105650 4969040 6211300 9938080 12422600 24845200 49690400