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42514704 = 24321941379
BaseRepresentation
bin1010001000101…
…1100100010000
32221222222012200
42202023210100
541340432304
64115123200
71024240401
oct242134420
987888180
1042514704
1121aa8a21
12122a3500
138a6733b
1459099a8
153aebe39
hex288b910

42514704 has 120 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 13063680.

The previous prime is 42514697. The next prime is 42514709. The reversal of 42514704 is 40741524.

It is not an unprimeable number, because it can be changed into a prime (42514709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111987 + ... + 112365.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 242514704 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 42514704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

42514704 is an abundant number, since it is smaller than the sum of its proper divisors (86122896).

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

42514704 is a wasteful number, since it uses less digits than its factorization.

42514704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 42514704 is about 6520.3300529958. The cubic root of 42514704 is about 349.0168436027.

It can be divided in two parts, 425 and 14704, that added together give a square (15129 = 1232).

The spelling of 42514704 in words is "forty-two million, five hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 379 456 492 656 684 738 758 779 912 984 1137 1368 1476 1516 1558 1968 2274 2337 2736 2952 3032 3116 3411 4548 4674 5904 6064 6232 6822 7011 7201 9096 9348 12464 13644 14022 14402 15539 18192 18696 21603 27288 28044 28804 31078 37392 43206 46617 54576 56088 57608 62156 64809 86412 93234 112176 115216 124312 129618 139851 172824 186468 248624 259236 279702 295241 345648 372936 518472 559404 590482 745872 885723 1036944 1118808 1180964 1771446 2237616 2361928 2657169 3542892 4723856 5314338 7085784 10628676 14171568 21257352 42514704