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49790720 = 28575557
BaseRepresentation
bin1011110111101…
…1111100000000
310110200122000202
42331323330000
5100221300340
64535104332
71143133310
oct275737400
9113618022
1049790720
1126118561
12148120a8
13a414085
146881440
154587c15
hex2f7bf00

49790720 has 72 divisors (see below), whose sum is σ = 136326624. Its totient is φ = 17068032.

The previous prime is 49790717. The next prime is 49790723. The reversal of 49790720 is 2709794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49790717) and next prime (49790723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49790723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6182 + ... + 11738.

Almost surely, 249790720 is an apocalyptic number.

49790720 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 49790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68163312).

49790720 is an abundant number, since it is smaller than the sum of its proper divisors (86535904).

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

49790720 is an equidigital number, since it uses as much as digits as its factorization.

49790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 49790720 is about 7056.2539636836. The cubic root of 49790720 is about 367.8884349898. Note that the first 3 decimals are identical.

The spelling of 49790720 in words is "forty-nine million, seven hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 5557 8960 11114 22228 27785 38899 44456 55570 77798 88912 111140 155596 177824 194495 222280 311192 355648 388990 444560 622384 711296 777980 889120 1244768 1422592 1555960 1778240 2489536 3111920 3556480 4979072 6223840 7112960 9958144 12447680 24895360 49790720