Search a number
-
+
61487424 = 263429409
BaseRepresentation
bin1110101010001…
…1100101000000
311021200212220000
43222203211000
5111220044144
610033520000
71344430425
oct352434500
9137625800
1061487424
1131787459
1218713000
13c97acbb
148247d4c
1555e8769
hex3aa3940

61487424 has 140 divisors (see below), whose sum is σ = 189014100. Its totient is φ = 19740672.

The previous prime is 61487423. The next prime is 61487429. The reversal of 61487424 is 42478416.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 15681600 = 6768^2 + 3960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61487423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150132 + ... + 150540.

Almost surely, 261487424 is an apocalyptic number.

61487424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61487424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94507050).

61487424 is an abundant number, since it is smaller than the sum of its proper divisors (127526676).

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

61487424 is a wasteful number, since it uses less digits than its factorization.

61487424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 61487424 is about 7841.3917132101. The cubic root of 61487424 is about 394.6954315127.

Subtracting from 61487424 its product of digits (43008), we obtain a palindrome (61444416).

The spelling of 61487424 in words is "sixty-one million, four hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 409 432 464 522 576 648 696 783 818 864 928 1044 1227 1296 1392 1566 1636 1728 1856 2088 2349 2454 2592 2784 3132 3272 3681 4176 4698 4908 5184 5568 6264 6544 7362 8352 9396 9816 11043 11861 12528 13088 14724 16704 18792 19632 22086 23722 25056 26176 29448 33129 35583 37584 39264 44172 47444 50112 58896 66258 71166 75168 78528 88344 94888 106749 117792 132516 142332 150336 176688 189776 213498 235584 265032 284664 320247 353376 379552 426996 530064 569328 640494 706752 759104 853992 960741 1060128 1138656 1280988 1707984 1921482 2120256 2277312 2561976 3415968 3842964 5123952 6831936 7685928 10247904 15371856 20495808 30743712 61487424