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49790960 = 24517311181
BaseRepresentation
bin1011110111101…
…1111111110000
310110200122100122
42331323333300
5100221302320
64535105412
71143134102
oct275737760
9113618318
1049790960
112611875a
1214812268
13a41420b
146881572
154587d25
hex2f7bff0

49790960 has 80 divisors (see below), whose sum is σ = 126634752. Its totient is φ = 18124800.

The previous prime is 49790959. The next prime is 49790969. The reversal of 49790960 is 6909794.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49790969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41570 + ... + 42750.

Almost surely, 249790960 is an apocalyptic number.

49790960 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 49790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63317376).

49790960 is an abundant number, since it is smaller than the sum of its proper divisors (76843792).

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

49790960 is a wasteful number, since it uses less digits than its factorization.

49790960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 49790960 is about 7056.2709698537. The cubic root of 49790960 is about 367.8890260844.

The spelling of 49790960 in words is "forty-nine million, seven hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1181 1240 1360 2108 2362 2480 2635 4216 4724 5270 5905 8432 9448 10540 11810 18896 20077 21080 23620 36611 40154 42160 47240 73222 80308 94480 100385 146444 160616 183055 200770 292888 321232 366110 401540 585776 622387 732220 803080 1244774 1464440 1606160 2489548 2928880 3111935 4979096 6223870 9958192 12447740 24895480 49790960