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42917490 = 23257112563
BaseRepresentation
bin1010001110110…
…1111001110010
32222202102201200
42203231321302
541441324430
64131512030
71030535610
oct243557162
988672650
1042917490
1122253600
1212458616
138b78785
1459b26b0
153b7b460
hex28ede72

42917490 has 144 divisors (see below), whose sum is σ = 140422464. Its totient is φ = 8902080.

The previous prime is 42917467. The next prime is 42917507. The reversal of 42917490 is 9471924.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75949 + ... + 76511.

It is an arithmetic number, because the mean of its divisors is an integer number (975156).

Almost surely, 242917490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42917490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70211232).

42917490 is an abundant number, since it is smaller than the sum of its proper divisors (97504974).

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

42917490 is a wasteful number, since it uses less digits than its factorization.

42917490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42917490 is about 6551.1441748751. The cubic root of 42917490 is about 350.1155808750.

It can be divided in two parts, 4291 and 7490, that added together give a triangular number (11781 = T153).

The spelling of 42917490 in words is "forty-two million, nine hundred seventeen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 315 330 363 385 462 495 563 605 630 693 726 770 847 990 1089 1126 1155 1210 1386 1689 1694 1815 2178 2310 2541 2815 3378 3465 3630 3941 4235 5067 5082 5445 5630 6193 6930 7623 7882 8445 8470 10134 10890 11823 12386 12705 15246 16890 18579 19705 23646 25335 25410 30965 35469 37158 38115 39410 43351 50670 55737 59115 61930 68123 70938 76230 86702 92895 111474 118230 130053 136246 177345 185790 204369 216755 260106 278685 340615 354690 390159 408738 433510 476861 557370 613107 650265 681230 780318 953722 1021845 1226214 1300530 1430583 1950795 2043690 2384305 2861166 3065535 3901590 4291749 4768610 6131070 7152915 8583498 14305830 21458745 42917490