Search a number
-
+
63829290 = 23572947223
BaseRepresentation
bin1111001101111…
…1010100101010
311110002212022210
43303133110222
5112320014130
610200025550
71403353140
oct363372452
9143085283
1063829290
1133036988
12194622b6
13102bac15
148697590
15590c5b0
hex3cdf52a

63829290 has 128 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 13724928.

The previous prime is 63829277. The next prime is 63829309. The reversal of 63829290 is 9292836.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286119 + ... + 286341.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 263829290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63829290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

63829290 is an abundant number, since it is smaller than the sum of its proper divisors (121965270).

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

63829290 is a wasteful number, since it uses less digits than its factorization.

63829290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 63829290 is about 7989.3235007728. The cubic root of 63829290 is about 399.6440374874.

The spelling of 63829290 in words is "sixty-three million, eight hundred twenty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 47 58 70 87 94 105 141 145 174 203 210 223 235 282 290 329 406 435 446 470 609 658 669 705 870 987 1015 1115 1218 1338 1363 1410 1561 1645 1974 2030 2230 2726 3045 3122 3290 3345 4089 4683 4935 6090 6467 6690 6815 7805 8178 9366 9541 9870 10481 12934 13630 15610 19082 19401 20445 20962 23415 28623 31443 32335 38802 40890 45269 46830 47705 52405 57246 62886 64670 73367 90538 95410 97005 104810 135807 143115 146734 157215 194010 220101 226345 271614 286230 303949 314430 366835 440202 452690 607898 679035 733670 911847 1100505 1358070 1519745 1823694 2127643 2201010 3039490 4255286 4559235 6382929 9118470 10638215 12765858 21276430 31914645 63829290