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42146370 = 23257219503
BaseRepresentation
bin1010000011000…
…1101001000010
32221022020221200
42200301221002
541242140440
64103202030
71021144500
oct240615102
987266850
1042146370
1121877212
1212146316
1389687a6
145851670
153a77c30
hex2831a42

42146370 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 9108288.

The previous prime is 42146369. The next prime is 42146411. The reversal of 42146370 is 7364124.

42146370 is a `hidden beast` number, since 4 + 21 + 4 + 637 + 0 = 666.

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, 83539 + ... + 84041.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 242146370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42146370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

42146370 is an abundant number, since it is smaller than the sum of its proper divisors (92300670).

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

42146370 is a wasteful number, since it uses less digits than its factorization.

42146370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42146370 is about 6492.0235674249. The cubic root of 42146370 is about 348.0059947441.

The spelling of 42146370 in words is "forty-two million, one hundred forty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 503 570 630 665 735 798 855 882 931 1006 1197 1330 1470 1509 1710 1862 1995 2205 2394 2515 2793 3018 3521 3990 4410 4527 4655 5030 5586 5985 7042 7545 8379 9054 9310 9557 10563 11970 13965 15090 16758 17605 19114 21126 22635 24647 27930 28671 31689 35210 41895 45270 47785 49294 52815 57342 63378 66899 73941 83790 86013 95570 105630 123235 133798 143355 147882 158445 172026 200697 221823 246470 286710 316890 334495 369705 401394 430065 443646 468293 602091 668990 739410 860130 936586 1003485 1109115 1204182 1404879 2006970 2218230 2341465 2809758 3010455 4214637 4682930 6020910 7024395 8429274 14048790 21073185 42146370