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2042425424 = 241317261557
BaseRepresentation
bin111100110111100…
…1111000001010000
312021100011221222002
41321233033001100
513140330103144
6534400133132
7101420221034
oct17157170120
95240157862
102042425424
119589944a6
124900071a8
132671acb70
141553801c4
15be49314e
hex79bcf050

2042425424 has 120 divisors (see below), whose sum is σ = 4609501848. Its totient is φ = 871096320.

The previous prime is 2042425409. The next prime is 2042425453. The reversal of 2042425424 is 4245242402.

It can be written as a sum of positive squares in 12 ways, for example, as 1126273600 + 916151824 = 33560^2 + 30268^2 .

It is a super-2 number, since 2×20424254242 = 8343003225203159552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3666554 + ... + 3667110.

Almost surely, 22042425424 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 2042425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304750924).

2042425424 is an abundant number, since it is smaller than the sum of its proper divisors (2567076424).

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

2042425424 is a wasteful number, since it uses less digits than its factorization.

2042425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 29.

The square root of 2042425424 is about 45193.2010815786. The cubic root of 2042425424 is about 1268.7675695788.

Adding to 2042425424 its reverse (4245242402), we get a palindrome (6287667826).

The spelling of 2042425424 in words is "two billion, forty-two million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 61 68 104 122 136 208 221 244 272 289 442 488 557 578 793 884 976 1037 1114 1156 1586 1768 2074 2228 2312 3172 3536 3757 4148 4456 4624 6344 7241 7514 8296 8912 9469 12688 13481 14482 15028 16592 17629 18938 26962 28964 30056 33977 35258 37876 53924 57928 60112 67954 70516 75752 107848 115856 123097 135908 141032 151504 160973 215696 229177 246194 271816 282064 321946 441701 458354 492388 543632 577609 643892 883402 916708 984776 1155218 1287784 1766804 1833416 1969552 2092649 2310436 2575568 3533608 3666832 4185298 4620872 7067216 7508917 8370596 9241744 9819353 15017834 16741192 19638706 30035668 33482384 39277412 60071336 78554824 120142672 127651589 157109648 255303178 510606356 1021212712 2042425424