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42704124 = 2232941273
BaseRepresentation
bin1010001011100…
…1110011111100
32222100121001020
42202321303330
541413012444
64123144140
71025656551
oct242716374
988317036
1042704124
1122118271
1212375050
138b02618
145958a28
153b38119
hex28b9cfc

42704124 has 72 divisors (see below), whose sum is σ = 107101680. Its totient is φ = 13224960.

The previous prime is 42704111. The next prime is 42704171. The reversal of 42704124 is 42140724.

It is a junction number, because it is equal to n+sod(n) for n = 42704094 and 42704103.

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, 584952 + ... + 585024.

Almost surely, 242704124 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 42704124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53550840).

42704124 is an abundant number, since it is smaller than the sum of its proper divisors (64397556).

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

42704124 is a wasteful number, since it uses less digits than its factorization.

42704124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 42704124 is about 6534.8392482141. The cubic root of 42704124 is about 349.5344122186.

Adding to 42704124 its reverse (42140724), we get a palindrome (84844848).

The spelling of 42704124 in words is "forty-two million, seven hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 41 58 73 82 87 116 123 146 164 174 219 246 292 348 438 492 876 1189 1681 2117 2378 2993 3362 3567 4234 4756 5043 5986 6351 6724 7134 8468 8979 10086 11972 12702 14268 17958 20172 25404 35916 48749 86797 97498 122713 146247 173594 194996 245426 260391 292494 347188 368139 490852 520782 584988 736278 1041564 1472556 3558677 7117354 10676031 14234708 21352062 42704124