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49797792 = 25321121429
BaseRepresentation
bin1011110111110…
…1101010100000
310110200222201200
42331331222200
5100222012132
64535201200
71143163032
oct275755240
9113628650
1049797792
1126122900
1214816200
13a417365
146883c52
154589d7c
hex2f7daa0

49797792 has 108 divisors (see below), whose sum is σ = 155765610. Its totient is φ = 15079680.

The previous prime is 49797791. The next prime is 49797799. The reversal of 49797792 is 29779794.

It can be written as a sum of positive squares in only one way, i.e., 48944016 + 853776 = 6996^2 + 924^2 .

It is not an unprimeable number, because it can be changed into a prime (49797791) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34134 + ... + 35562.

Almost surely, 249797792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49797792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77882805).

49797792 is an abundant number, since it is smaller than the sum of its proper divisors (105967818).

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

49797792 is a wasteful number, since it uses less digits than its factorization.

49797792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1445 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 49797792 is about 7056.7550616413. The cubic root of 49797792 is about 367.9058517818.

It can be divided in two parts, 497 and 97792, that added together give a palindrome (98289).

The spelling of 49797792 in words is "forty-nine million, seven hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1429 1452 1584 1936 2178 2858 2904 3168 3872 4287 4356 5716 5808 8574 8712 11432 11616 12861 15719 17148 17424 22864 25722 31438 34296 34848 45728 47157 51444 62876 68592 94314 102888 125752 137184 141471 172909 188628 205776 251504 282942 345818 377256 411552 503008 518727 565884 691636 754512 1037454 1131768 1383272 1509024 1556181 2074908 2263536 2766544 3112362 4149816 4527072 5533088 6224724 8299632 12449448 16599264 24898896 49797792