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49880544 = 2537199373
BaseRepresentation
bin1011111001000…
…1110111100000
310110212012020120
42332101313200
5100232134134
64541040240
71143656220
oct276216740
9113765216
1049880544
1126179a9a
1214856080
13a445c1c
1468a6080
1545a4649
hex2f91de0

49880544 has 96 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 14141952.

The previous prime is 49880543. The next prime is 49880549. The reversal of 49880544 is 44508894.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 49880496 and 49880505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49880543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133542 + ... + 133914.

It is an arithmetic number, because the mean of its divisors is an integer number (1570800).

Almost surely, 249880544 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 49880544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

49880544 is an abundant number, since it is smaller than the sum of its proper divisors (100916256).

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

49880544 is a wasteful number, since it uses less digits than its factorization.

49880544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 49880544 is about 7062.6159459509. The cubic root of 49880544 is about 368.1095294638.

The spelling of 49880544 in words is "forty-nine million, eight hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 199 224 336 373 398 597 672 746 796 1119 1194 1393 1492 1592 2238 2388 2611 2786 2984 3184 4179 4476 4776 5222 5572 5968 6368 7833 8358 8952 9552 10444 11144 11936 15666 16716 17904 19104 20888 22288 31332 33432 35808 41776 44576 62664 66864 74227 83552 125328 133728 148454 222681 250656 296908 445362 519589 593816 890724 1039178 1187632 1558767 1781448 2078356 2375264 3117534 3562896 4156712 6235068 7125792 8313424 12470136 16626848 24940272 49880544