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42776916 = 22371343911
BaseRepresentation
bin1010001100101…
…1100101010100
32222111021220020
42203023211110
541422330131
64124505140
71026412020
oct243134524
988437806
1042776916
1122167a26
12123ab1b0
138b297b0
145977380
153b4e996
hex28cb954

42776916 has 96 divisors (see below), whose sum is σ = 125841408. Its totient is φ = 11007360.

The previous prime is 42776897. The next prime is 42776917. The reversal of 42776916 is 61967724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42776917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46501 + ... + 47411.

It is an arithmetic number, because the mean of its divisors is an integer number (1310848).

Almost surely, 242776916 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 42776916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62920704).

42776916 is an abundant number, since it is smaller than the sum of its proper divisors (83064492).

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

42776916 is a wasteful number, since it uses less digits than its factorization.

42776916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 42776916 is about 6540.4064093908. The cubic root of 42776916 is about 349.7329009798.

The spelling of 42776916 in words is "forty-two million, seven hundred seventy-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 911 1092 1118 1204 1677 1806 1822 2236 2733 3354 3612 3644 3913 5466 6377 6708 7826 10932 11739 11843 12754 15652 19131 23478 23686 25508 35529 38262 39173 46956 47372 71058 76524 78346 82901 117519 142116 156692 165802 235038 248703 274211 331604 470076 497406 509249 548422 822633 994812 1018498 1096844 1527747 1645266 2036996 3055494 3290532 3564743 6110988 7129486 10694229 14258972 21388458 42776916