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80049744 = 2432292661
BaseRepresentation
bin1001100010101…
…11011001010000
312120121221121100
410301113121100
5130443042434
611535424400
71661261115
oct461273120
9176557540
1080049744
1141205615
1222985100
1313779c18
14a8ba90c
157063699
hex4c57650

80049744 has 90 divisors (see below), whose sum is σ = 232370606. Its totient is φ = 25724160.

The previous prime is 80049743. The next prime is 80049811. The reversal of 80049744 is 44794008.

It can be written as a sum of positive squares in 3 ways, for example, as 23619600 + 56430144 = 4860^2 + 7512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80049699 and 80049708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80049743) 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, 120774 + ... + 121434.

Almost surely, 280049744 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 80049744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116185303).

80049744 is an abundant number, since it is smaller than the sum of its proper divisors (152320862).

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

80049744 is a wasteful number, since it uses less digits than its factorization.

80049744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80049744 is about 8947.0522519990. The cubic root of 80049744 is about 430.9762280014.

The spelling of 80049744 in words is "eighty million, forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 661 696 841 1044 1322 1392 1682 1983 2088 2523 2644 3364 3966 4176 5046 5288 5949 6728 7569 7932 10092 10576 11898 13456 15138 15864 19169 20184 23796 30276 31728 38338 40368 47592 57507 60552 76676 95184 115014 121104 153352 172521 230028 306704 345042 460056 555901 690084 920112 1111802 1380168 1667703 2223604 2760336 3335406 4447208 5003109 6670812 8894416 10006218 13341624 20012436 26683248 40024872 80049744