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1429031472 = 2431112232213
BaseRepresentation
bin101010100101101…
…0100101000110000
310200120222022122120
41111023110220300
510411313001342
6353445034240
750261365341
oct12513245060
93616868576
101429031472
11673718550
1233a6b5980
1319a0a496b
14d7b0c0c8
15856cbaec
hex552d4a30

1429031472 has 80 divisors (see below), whose sum is σ = 4032384768. Its totient is φ = 432490240.

The previous prime is 1429031453. The next prime is 1429031489. The reversal of 1429031472 is 2741309241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644638 + ... + 646850.

Almost surely, 21429031472 is an apocalyptic number.

1429031472 is a gapful number since it is divisible by the number (12) 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 1429031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016192384).

1429031472 is an abundant number, since it is smaller than the sum of its proper divisors (2603353296).

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

1429031472 is a wasteful number, since it uses less digits than its factorization.

1429031472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1429031472 is about 37802.5326135697. The cubic root of 1429031472 is about 1126.3687628204.

The spelling of 1429031472 in words is "one billion, four hundred twenty-nine million, thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1223 2213 2446 3669 4426 4892 6639 7338 8852 9784 13278 13453 14676 17704 19568 24343 26556 26906 29352 35408 40359 48686 53112 53812 58704 73029 80718 97372 106224 107624 146058 161436 194744 215248 292116 322872 389488 584232 645744 1168464 2706499 5412998 8119497 10825996 16238994 21651992 29771489 32477988 43303984 59542978 64955976 89314467 119085956 129911952 178628934 238171912 357257868 476343824 714515736 1429031472