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1429802748 = 223211171631303
BaseRepresentation
bin101010100111001…
…0000111011111100
310200122102111122100
41111032100323330
510412012141443
6353513345100
750301060063
oct12516207374
93618374570
101429802748
116740a4a70
1233aa08190
1319a2b4a3a
14d7c6d1da
15857d03d3
hex55390efc

1429802748 has 144 divisors (see below), whose sum is σ = 4203553536. Its totient is φ = 404974080.

The previous prime is 1429802683. The next prime is 1429802749. The reversal of 1429802748 is 8472089241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429802749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096665 + ... + 1097967.

It is an arithmetic number, because the mean of its divisors is an integer number (29191344).

Almost surely, 21429802748 is an apocalyptic number.

1429802748 is a gapful number since it is divisible by the number (18) 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 1429802748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101776768).

1429802748 is an abundant number, since it is smaller than the sum of its proper divisors (2773750788).

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

1429802748 is a wasteful number, since it uses less digits than its factorization.

1429802748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1429802748 is about 37812.7326174663. The cubic root of 1429802748 is about 1126.5713673969.

The spelling of 1429802748 in words is "one billion, four hundred twenty-nine million, eight hundred two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 163 187 198 204 306 326 374 396 489 561 612 652 748 978 1122 1303 1467 1683 1793 1956 2244 2606 2771 2934 3366 3586 3909 5212 5379 5542 5868 6732 7172 7818 8313 10758 11084 11727 14333 15636 16137 16626 21516 22151 23454 24939 28666 30481 32274 33252 42999 44302 46908 49878 57332 60962 64548 66453 85998 88604 91443 99756 121924 128997 132906 171996 182886 199359 212389 243661 257994 265812 274329 365772 398718 424778 487322 515988 548658 637167 730983 797436 849556 974644 1097316 1274334 1461966 1911501 2192949 2336279 2548668 2923932 3610613 3823002 4385898 4672558 7008837 7221226 7646004 8771796 9345116 10831839 14017674 14442452 21026511 21663678 28035348 32495517 39716743 42053022 43327356 64991034 79433486 84106044 119150229 129982068 158866972 238300458 357450687 476600916 714901374 1429802748