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514392768 = 2634671481
BaseRepresentation
bin11110101010010…
…000001011000000
31022211220212020000
4132222100023000
52023141032033
6123013120000
715514160241
oct3652201300
91284825200
10514392768
112443a799a
12124329000
1382754226
144c460cc8
153025ca13
hex1ea902c0

514392768 has 140 divisors (see below), whose sum is σ = 1548624792. Its totient is φ = 168791040.

The previous prime is 514392761. The next prime is 514392787. The reversal of 514392768 is 867293415.

It is not an unprimeable number, because it can be changed into a prime (514392761) 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, 346588 + ... + 348068.

Almost surely, 2514392768 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 514392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774312396).

514392768 is an abundant number, since it is smaller than the sum of its proper divisors (1034232024).

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

514392768 is a wasteful number, since it uses less digits than its factorization.

514392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1553 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 514392768 is about 22680.2285702768. The cubic root of 514392768 is about 801.2442969862.

The spelling of 514392768 in words is "five hundred fourteen million, three hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 324 402 432 536 576 603 648 804 864 1072 1206 1296 1481 1608 1728 1809 2144 2412 2592 2962 3216 3618 4288 4443 4824 5184 5427 5924 6432 7236 8886 9648 10854 11848 12864 13329 14472 17772 19296 21708 23696 26658 28944 35544 38592 39987 43416 47392 53316 57888 71088 79974 86832 94784 99227 106632 115776 119961 142176 159948 173664 198454 213264 239922 284352 297681 319896 347328 396908 426528 479844 595362 639792 793816 853056 893043 959688 1190724 1279584 1587632 1786086 1919376 2381448 2559168 2679129 3175264 3572172 3838752 4762896 5358258 6350528 7144344 7677504 8037387 9525792 10716516 14288688 16074774 19051584 21433032 28577376 32149548 42866064 57154752 64299096 85732128 128598192 171464256 257196384 514392768