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49419760 = 24513194161
BaseRepresentation
bin1011110010000…
…1010111110000
310102222210011111
42330201113300
5100122413020
64523123104
71140026635
oct274412760
9112883144
1049419760
1125994885
1214673494
13a314280
1467c618c
154512d5a
hex2f215f0

49419760 has 160 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 16588800.

The previous prime is 49419749. The next prime is 49419761. The reversal of 49419760 is 6791494.

It is a happy number.

49419760 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49419761) 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 31 ways as a sum of consecutive naturals, for example, 810130 + ... + 810190.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 249419760 is an apocalyptic number.

49419760 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 49419760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

49419760 is an abundant number, since it is smaller than the sum of its proper divisors (86196560).

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

49419760 is a wasteful number, since it uses less digits than its factorization.

49419760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 49419760 is about 7029.9189184513. The cubic root of 49419760 is about 366.9725198261.

The spelling of 49419760 in words is "forty-nine million, four hundred nineteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 41 52 61 65 76 80 82 95 104 122 130 152 164 190 205 208 244 247 260 304 305 328 380 410 488 494 520 533 610 656 760 779 793 820 976 988 1040 1066 1159 1220 1235 1520 1558 1586 1640 1976 2132 2318 2440 2470 2501 2665 3116 3172 3280 3895 3952 3965 4264 4636 4880 4940 5002 5330 5795 6232 6344 7790 7930 8528 9272 9880 10004 10127 10660 11590 12464 12505 12688 15067 15580 15860 18544 19760 20008 20254 21320 23180 25010 30134 31160 31720 32513 40016 40508 42640 46360 47519 50020 50635 60268 62320 63440 65026 75335 81016 92720 95038 100040 101270 120536 130052 150670 162032 162565 190076 200080 202540 237595 241072 260104 301340 325130 380152 405080 475190 520208 602680 617747 650260 760304 810160 950380 1205360 1235494 1300520 1900760 2470988 2601040 3088735 3801520 4941976 6177470 9883952 12354940 24709880 49419760