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42461550 = 2335271443
BaseRepresentation
bin1010000111111…
…0100101101110
32221220021022000
42201332211232
541332232200
64114033130
71023626415
oct241764556
987807260
1042461550
1121a71a9a
12122787a6
138a490a1
1458d447c
153adb300
hex287e96e

42461550 has 96 divisors (see below), whose sum is σ = 118920960. Its totient is φ = 11138400.

The previous prime is 42461501. The next prime is 42461567. The reversal of 42461550 is 5516424.

42461550 is a `hidden beast` number, since 42 + 4 + 615 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 95629 + ... + 96071.

It is an arithmetic number, because the mean of its divisors is an integer number (1238760).

Almost surely, 242461550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42461550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59460480).

42461550 is an abundant number, since it is smaller than the sum of its proper divisors (76459410).

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

42461550 is a wasteful number, since it uses less digits than its factorization.

42461550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42461550 is about 6516.2527575287. The cubic root of 42461550 is about 348.8713301973.

Adding to 42461550 its reverse (5516424), we get a palindrome (47977974).

The spelling of 42461550 in words is "forty-two million, four hundred sixty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 71 75 90 135 142 150 213 225 270 355 426 443 450 639 675 710 886 1065 1278 1329 1350 1775 1917 2130 2215 2658 3195 3550 3834 3987 4430 5325 6390 6645 7974 9585 10650 11075 11961 13290 15975 19170 19935 22150 23922 31453 31950 33225 39870 47925 59805 62906 66450 94359 95850 99675 119610 157265 188718 199350 283077 299025 314530 471795 566154 598050 786325 849231 943590 1415385 1572650 1698462 2358975 2830770 4246155 4717950 7076925 8492310 14153850 21230775 42461550