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46016040 = 23357291889
BaseRepresentation
bin1010111110001…
…0011000101000
310012120212010210
42233202120220
543240003130
64322141120
71066062360
oct257423050
9105525123
1046016040
1123a7a594
12134b17a0
1396c1c35
14617b9a0
15408e5b0
hex2be2628

46016040 has 128 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 10149888.

The previous prime is 46016039. The next prime is 46016051. The reversal of 46016040 is 4061064.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 46015998 and 46016016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23416 + ... + 25304.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 246016040 is an apocalyptic number.

46016040 is a gapful number since it is divisible by the number (40) 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 46016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

46016040 is an abundant number, since it is smaller than the sum of its proper divisors (117279960).

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

46016040 is a wasteful number, since it uses less digits than its factorization.

46016040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 46016040 is about 6783.5123645498. The cubic root of 46016040 is about 358.3464287024.

The spelling of 46016040 in words is "forty-six million, sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1218 1624 1740 1889 2030 2436 3045 3480 3778 4060 4872 5667 6090 7556 8120 9445 11334 12180 13223 15112 18890 22668 24360 26446 28335 37780 39669 45336 52892 54781 56670 66115 75560 79338 105784 109562 113340 132230 158676 164343 198345 219124 226680 264460 273905 317352 328686 383467 396690 438248 528920 547810 657372 766934 793380 821715 1095620 1150401 1314744 1533868 1586760 1643430 1917335 2191240 2300802 3067736 3286860 3834670 4601604 5752005 6573720 7669340 9203208 11504010 15338680 23008020 46016040