Search a number
-
+
64476480 = 2635471429
BaseRepresentation
bin1111010111110…
…1010101000000
311111022202002210
43311331111000
5113001221410
610221542120
71412020035
oct365752500
9144282083
1064476480
1133439152
1219714940
1310486683
1487c538c
1559d9220
hex3d7d540

64476480 has 112 divisors (see below), whose sum is σ = 209214720. Its totient is φ = 16816128.

The previous prime is 64476473. The next prime is 64476493. The reversal of 64476480 is 8467446.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44406 + ... + 45834.

Almost surely, 264476480 is an apocalyptic number.

64476480 is a gapful number since it is divisible by the number (60) 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 64476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104607360).

64476480 is an abundant number, since it is smaller than the sum of its proper divisors (144738240).

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

64476480 is a wasteful number, since it uses less digits than its factorization.

64476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 64476480 is about 8029.7247773507. The cubic root of 64476480 is about 400.9902133378.

The spelling of 64476480 in words is "sixty-four million, four hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1429 1504 1880 2256 2820 2858 3008 3760 4287 4512 5640 5716 7145 7520 8574 9024 11280 11432 14290 15040 17148 21435 22560 22864 28580 34296 42870 45120 45728 57160 67163 68592 85740 91456 114320 134326 137184 171480 201489 228640 268652 274368 335815 342960 402978 457280 537304 671630 685920 805956 1007445 1074608 1343260 1371840 1611912 2014890 2149216 2686520 3223824 4029780 4298432 5373040 6447648 8059560 10746080 12895296 16119120 21492160 32238240 64476480