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514151988 = 223731474201
BaseRepresentation
bin11110101001010…
…101011000110100
31022211110121221020
4132221111120310
52023110330423
6123004021140
715512135250
oct3651253064
91284417836
10514151988
11244252aa9
121242317b0
138269b75c
144c3db260
15302114e3
hex1ea55634

514151988 has 96 divisors (see below), whose sum is σ = 1445756928. Its totient is φ = 139104000.

The previous prime is 514151977. The next prime is 514151999. The reversal of 514151988 is 889151415.

It is an interprime number because it is at equal distance from previous prime (514151977) and next prime (514151999).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 120288 + ... + 124488.

It is an arithmetic number, because the mean of its divisors is an integer number (15059968).

Almost surely, 2514151988 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 514151988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722878464).

514151988 is an abundant number, since it is smaller than the sum of its proper divisors (931604940).

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

514151988 is a wasteful number, since it uses less digits than its factorization.

514151988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4291 counting only the distinct ones).

The product of its digits is 57600, while the sum is 42.

The square root of 514151988 is about 22674.9198014017. The cubic root of 514151988 is about 801.1192604232.

The spelling of 514151988 in words is "five hundred fourteen million, one hundred fifty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1302 1316 1457 1974 2604 2914 3948 4201 4371 5828 8402 8742 10199 12603 16804 17484 20398 25206 29407 30597 40796 50412 58814 61194 88221 117628 122388 130231 176442 197447 260462 352884 390693 394894 520924 592341 781386 789788 911617 1184682 1382129 1562772 1823234 2369364 2734851 2764258 3646468 4146387 5469702 5528516 6120857 8292774 10939404 12241714 16585548 18362571 24483428 36725142 42845999 73450284 85691998 128537997 171383996 257075994 514151988