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42098004 = 223213233911
BaseRepresentation
bin1010000010010…
…1110101010100
32221012210121100
42200211311110
541234114004
64102150100
71020553464
oct240456524
987183540
1042098004
1121843943
1212122330
13894c780
14583bba4
153a68739
hex2825d54

42098004 has 72 divisors (see below), whose sum is σ = 119613312. Its totient is φ = 12386880.

The previous prime is 42097999. The next prime is 42098009. The reversal of 42098004 is 40089024.

It is an interprime number because it is at equal distance from previous prime (42097999) and next prime (42098009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8809 + ... + 12719.

It is an arithmetic number, because the mean of its divisors is an integer number (1661296).

Almost surely, 242098004 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 42098004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59806656).

42098004 is an abundant number, since it is smaller than the sum of its proper divisors (77515308).

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

42098004 is a wasteful number, since it uses less digits than its factorization.

42098004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42098004 is about 6488.2974654373. The cubic root of 42098004 is about 347.8728231285.

The spelling of 42098004 in words is "forty-two million, ninety-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 3911 5382 7822 10764 11733 15644 23466 35199 46932 50843 70398 89953 101686 140796 152529 179906 203372 269859 305058 359812 457587 539718 610116 809577 915174 1079436 1169389 1619154 1830348 2338778 3238308 3508167 4677556 7016334 10524501 14032668 21049002 42098004