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42876470 = 25721353127
BaseRepresentation
bin1010001110001…
…1111000110110
32222200100110102
42203203320312
541434021340
64130554102
71030305200
oct243437066
988610412
1042876470
11222257aa
1212438932
138b62bc0
1459a1770
153b6e215
hex28e3e36

42876470 has 96 divisors (see below), whose sum is σ = 99283968. Its totient is φ = 13208832.

The previous prime is 42876443. The next prime is 42876487. The reversal of 42876470 is 7467824.

42876470 = T1 + T2 + ... + T635.

42876470 is a nontrivial binomial coefficient, being equal to C(637, 3).

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is the 635-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337547 + ... + 337673.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 242876470 is an apocalyptic number.

42876470 is an abundant number, since it is smaller than the sum of its proper divisors (56407498).

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

42876470 is a wasteful number, since it uses less digits than its factorization.

42876470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 42876470 is about 6548.0126756139. The cubic root of 42876470 is about 350.0039999543.

The spelling of 42876470 in words is "forty-two million, eight hundred seventy-six thousand, four hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 53 65 70 91 98 106 127 130 182 245 254 265 371 455 490 530 635 637 689 742 889 910 1270 1274 1378 1651 1778 1855 2597 3185 3302 3445 3710 4445 4823 5194 6223 6370 6731 6890 8255 8890 9646 11557 12446 12985 13462 16510 23114 24115 25970 31115 33655 33761 47117 48230 57785 62230 67310 67522 80899 87503 94234 115570 161798 168805 175006 235585 329819 337610 404495 437515 471170 612521 659638 808990 875030 1225042 1649095 3062605 3298190 4287647 6125210 8575294 21438235 42876470