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49876416 = 2632131661
BaseRepresentation
bin1011111001000…
…0110111000000
310110211222120200
42332100313000
5100232021131
64541005200
71143641202
oct276206700
9113758520
1049876416
1126176987
1214853800
13a444095
1468a4772
1545a32e6
hex2f90dc0

49876416 has 84 divisors (see below), whose sum is σ = 144270984. Its totient is φ = 16473600.

The previous prime is 49876399. The next prime is 49876423. The reversal of 49876416 is 61467894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75126 + ... + 75786.

Almost surely, 249876416 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 49876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72135492).

49876416 is an abundant number, since it is smaller than the sum of its proper divisors (94394568).

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

49876416 is a wasteful number, since it uses less digits than its factorization.

49876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49876416 is about 7062.3236969145. The cubic root of 49876416 is about 368.0993745488.

The spelling of 49876416 in words is "forty-nine million, eight hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 661 786 1048 1179 1322 1572 1983 2096 2358 2644 3144 3966 4192 4716 5288 5949 6288 7932 8384 9432 10576 11898 12576 15864 18864 21152 23796 25152 31728 37728 42304 47592 63456 75456 86591 95184 126912 173182 190368 259773 346364 380736 519546 692728 779319 1039092 1385456 1558638 2078184 2770912 3117276 4156368 5541824 6234552 8312736 12469104 16625472 24938208 49876416