Search a number
-
+
487877104 = 2411132373127
BaseRepresentation
bin11101000101000…
…110100111110000
31021000000201120101
4131011012213300
51444344031404
6120224522144
715042613141
oct3505064760
91230021511
10487877104
11230437320
12117480354
137a0cc1a0
1448b1bac8
152cc712a4
hex1d1469f0

487877104 has 160 divisors (see below), whose sum is σ = 1183924224. Its totient is φ = 191600640.

The previous prime is 487876979. The next prime is 487877129. The reversal of 487877104 is 401778784.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3841489 + ... + 3841615.

Almost surely, 2487877104 is an apocalyptic number.

487877104 is a gapful number since it is divisible by the number (44) 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 487877104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591962112).

487877104 is an abundant number, since it is smaller than the sum of its proper divisors (696047120).

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

487877104 is a wasteful number, since it uses less digits than its factorization.

487877104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 46.

The square root of 487877104 is about 22087.9402389630. The cubic root of 487877104 is about 787.2333409408.

The spelling of 487877104 in words is "four hundred eighty-seven million, eight hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 73 88 92 104 127 143 146 176 184 208 253 254 286 292 299 368 506 508 572 584 598 803 949 1012 1016 1144 1168 1196 1397 1606 1651 1679 1898 2024 2032 2288 2392 2794 2921 3212 3289 3302 3358 3796 4048 4784 5588 5842 6424 6578 6604 6716 7592 9271 10439 11176 11684 12848 13156 13208 13432 15184 18161 18469 18542 20878 21827 22352 23368 26312 26416 26864 32131 36322 36938 37084 37973 41756 43654 46736 52624 64262 72644 73876 74168 75946 83512 87308 101981 120523 128524 145288 147752 148336 151892 167024 174616 203962 213233 240097 241046 257048 290576 295504 303784 349232 407924 417703 426466 480194 482092 514096 607568 815848 835406 852932 960388 964184 1325753 1631696 1670812 1705864 1920776 1928368 2345563 2651506 2772029 3341624 3411728 3841552 4691126 5303012 5544058 6683248 9382252 10606024 11088116 18764504 21212048 22176232 30492319 37529008 44352464 60984638 121969276 243938552 487877104