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1423899936 = 253231433709
BaseRepresentation
bin101010011011110…
…1111110100100000
310200020022121111200
41110313233310200
510404004244221
6353143041200
750166643524
oct12467576440
93606277450
101423899936
11670833108
12338a40200
13198cc9054
14d7173d84
1585016426
hex54defd20

1423899936 has 144 divisors (see below), whose sum is σ = 4278193920. Its totient is φ = 448519680.

The previous prime is 1423899931. The next prime is 1423899973. The reversal of 1423899936 is 6399983241.

1423899936 is a `hidden beast` number, since 142 + 389 + 99 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1423899931) 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 23 ways as a sum of consecutive naturals, for example, 382050 + ... + 385758.

It is an arithmetic number, because the mean of its divisors is an integer number (29709680).

Almost surely, 21423899936 is an apocalyptic number.

1423899936 is a gapful number since it is divisible by the number (16) 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 1423899936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139096960).

1423899936 is an abundant number, since it is smaller than the sum of its proper divisors (2854293984).

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

1423899936 is a wasteful number, since it uses less digits than its factorization.

1423899936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3788 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1423899936 is about 37734.5986595856. The cubic root of 1423899936 is about 1125.0189128672.

The spelling of 1423899936 in words is "one billion, four hundred twenty-three million, eight hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 43 48 62 72 86 93 96 124 129 144 172 186 248 258 279 288 344 372 387 496 516 558 688 744 774 992 1032 1116 1333 1376 1488 1548 2064 2232 2666 2976 3096 3709 3999 4128 4464 5332 6192 7418 7998 8928 10664 11127 11997 12384 14836 15996 21328 22254 23994 29672 31992 33381 42656 44508 47988 59344 63984 66762 89016 95976 114979 118688 127968 133524 159487 178032 191952 229958 267048 318974 344937 356064 383904 459916 478461 534096 637948 689874 919832 956922 1034811 1068192 1275896 1379748 1435383 1839664 1913844 2069622 2551792 2759496 2870766 3679328 3827688 4139244 4944097 5103584 5518992 5741532 7655376 8278488 9888194 11037984 11483064 14832291 15310752 16556976 19776388 22966128 29664582 33113952 39552776 44496873 45932256 59329164 79105552 88993746 118658328 158211104 177987492 237316656 355974984 474633312 711949968 1423899936