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49980640 = 2551941401
BaseRepresentation
bin1011111010101…
…0010011100000
310111001021112211
42332222103200
5100243340030
64543131504
71144554103
oct276522340
9114037484
1049980640
1126238216
12148a3b94
13a47c658
1468d073a
1545c412a
hex2faa4e0

49980640 has 96 divisors (see below), whose sum is σ = 127643040. Its totient is φ = 18432000.

The previous prime is 49980617. The next prime is 49980653. The reversal of 49980640 is 4608994.

49980640 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 junction number, because it is equal to n+sod(n) for n = 49980593 and 49980602.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 124440 + ... + 124840.

It is an arithmetic number, because the mean of its divisors is an integer number (1329615).

Almost surely, 249980640 is an apocalyptic number.

49980640 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 49980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63821520).

49980640 is an abundant number, since it is smaller than the sum of its proper divisors (77662400).

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

49980640 is a wasteful number, since it uses less digits than its factorization.

49980640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 49980640 is about 7069.6987205962. The cubic root of 49980640 is about 368.3555951592.

The spelling of 49980640 in words is "forty-nine million, nine hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 76 80 82 95 152 160 164 190 205 304 328 380 401 410 608 656 760 779 802 820 1312 1520 1558 1604 1640 2005 3040 3116 3208 3280 3895 4010 6232 6416 6560 7619 7790 8020 12464 12832 15238 15580 16040 16441 24928 30476 31160 32080 32882 38095 60952 62320 64160 65764 76190 82205 121904 124640 131528 152380 164410 243808 263056 304760 312379 328820 526112 609520 624758 657640 1219040 1249516 1315280 1561895 2499032 2630560 3123790 4998064 6247580 9996128 12495160 24990320 49980640