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1424805768 = 2333173710487
BaseRepresentation
bin101010011101100…
…1100111110001000
310200022000122002000
41110323030332020
510404222241033
6353214311000
750210435451
oct12473147610
93608018060
101424805768
116712a1731
123391b8460
13199255449
14d732c128
1585144a13
hex54eccf88

1424805768 has 128 divisors (see below), whose sum is σ = 4304275200. Its totient is φ = 434875392.

The previous prime is 1424805749. The next prime is 1424805769. The reversal of 1424805768 is 8675084241.

It is not an unprimeable number, because it can be changed into a prime (1424805769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130621 + ... + 141107.

It is an arithmetic number, because the mean of its divisors is an integer number (33627150).

Almost surely, 21424805768 is an apocalyptic number.

1424805768 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 1424805768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152137600).

1424805768 is an abundant number, since it is smaller than the sum of its proper divisors (2879469432).

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

1424805768 is a wasteful number, since it uses less digits than its factorization.

1424805768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1424805768 is about 37746.5994229944. The cubic root of 1424805768 is about 1125.2574273121.

The spelling of 1424805768 in words is "one billion, four hundred twenty-four million, eight hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 102 108 111 136 148 153 204 216 222 296 306 333 408 444 459 612 629 666 888 918 999 1224 1258 1332 1836 1887 1998 2516 2664 3672 3774 3996 5032 5661 7548 7992 10487 11322 15096 16983 20974 22644 31461 33966 41948 45288 62922 67932 83896 94383 125844 135864 178279 188766 251688 283149 356558 377532 388019 534837 566298 713116 755064 776038 1069674 1132596 1164057 1426232 1552076 1604511 2139348 2265192 2328114 3104152 3209022 3492171 4278696 4656228 4813533 6418044 6596323 6984342 9312456 9627066 10476513 12836088 13192646 13968684 19254132 19788969 20953026 26385292 27937368 38508264 39577938 41906052 52770584 59366907 79155876 83812104 118733814 158311752 178100721 237467628 356201442 474935256 712402884 1424805768