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1213429248 = 29363251
BaseRepresentation
bin100100001010011…
…0111011000000000
310010120021121000000
41020110313120000
54441114213443
6320224000000
742032656413
oct11024673000
93116247000
101213429248
11572a49399
1229a460000
13164516b95
14b7227b7a
15717de8d3
hex48537600

1213429248 has 140 divisors (see below), whose sum is σ = 3636188028. Its totient is φ = 404352000.

The previous prime is 1213429237. The next prime is 1213429267. The reversal of 1213429248 is 8429243121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 371623 + ... + 374873.

Almost surely, 21213429248 is an apocalyptic number.

1213429248 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 1213429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818094014).

1213429248 is an abundant number, since it is smaller than the sum of its proper divisors (2422758780).

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

1213429248 is an frugal number, since it uses more digits than its factorization.

1213429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3256 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1213429248 is about 34834.3113610704. The cubic root of 1213429248 is about 1066.6079578799.

The spelling of 1213429248 in words is "one billion, two hundred thirteen million, four hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3251 3456 3888 4608 5184 5832 6502 6912 7776 9753 10368 11664 13004 13824 15552 19506 20736 23328 26008 29259 31104 39012 41472 46656 52016 58518 62208 78024 87777 93312 104032 117036 124416 156048 175554 186624 208064 234072 263331 312096 351108 373248 416128 468144 526662 624192 702216 789993 832256 936288 1053324 1248384 1404432 1579986 1664512 1872576 2106648 2369979 2496768 2808864 3159972 3745152 4213296 4739958 4993536 5617728 6319944 7490304 8426592 9479916 11235456 12639888 14980608 16853184 18959832 22470912 25279776 33706368 37919664 44941824 50559552 67412736 75839328 101119104 134825472 151678656 202238208 303357312 404476416 606714624 1213429248