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514881480 = 233531612269
BaseRepresentation
bin11110101100000…
…111011111001000
31022212211200121110
4132230013133020
52023302201410
6123031410320
715521264121
oct3654073710
91285750543
10514881480
11244701093
121245239a0
13828957c9
144c54b048
1530307720
hex1eb077c8

514881480 has 128 divisors (see below), whose sum is σ = 1621324800. Its totient is φ = 130636800.

The previous prime is 514881467. The next prime is 514881509. The reversal of 514881480 is 84188415.

It is a Cunningham number, because it is equal to 226912-1.

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, 225786 + ... + 228054.

It is an arithmetic number, because the mean of its divisors is an integer number (12666600).

Almost surely, 2514881480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514881480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810662400).

514881480 is an abundant number, since it is smaller than the sum of its proper divisors (1106443320).

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

514881480 is a wasteful number, since it uses less digits than its factorization.

514881480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 514881480 is about 22690.9999779648. Note that the first 4 decimals coincide. The cubic root of 514881480 is about 801.4979642117.

The spelling of 514881480 in words is "five hundred fourteen million, eight hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 93 120 122 124 155 183 186 244 248 305 310 366 372 465 488 610 620 732 744 915 930 1220 1240 1464 1830 1860 1891 2269 2440 3660 3720 3782 4538 5673 6807 7320 7564 9076 9455 11345 11346 13614 15128 18152 18910 22690 22692 27228 28365 34035 37820 45380 45384 54456 56730 68070 70339 75640 90760 113460 136140 138409 140678 211017 226920 272280 276818 281356 351695 415227 422034 553636 562712 692045 703390 830454 844068 1055085 1107272 1384090 1406780 1660908 1688136 2076135 2110170 2768180 2813560 3321816 4152270 4220340 4290679 5536360 8304540 8440680 8581358 12872037 16609080 17162716 21453395 25744074 34325432 42906790 51488148 64360185 85813580 102976296 128720370 171627160 257440740 514881480