Search a number
-
+
46906440 = 23357192939
BaseRepresentation
bin1011001011101…
…1110001001000
310021021002112120
42302323301020
544002001230
64353211240
71106461320
oct262736110
9107232476
1046906440
1124528559
1213860b20
1399442b9
146330280
1541b8310
hex2cbbc48

46906440 has 128 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 10153728.

The previous prime is 46906439. The next prime is 46906463. The reversal of 46906440 is 4460964.

46906440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×469064402 = 4400428226947200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14491 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 246906440 is an apocalyptic number.

46906440 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 46906440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

46906440 is an abundant number, since it is smaller than the sum of its proper divisors (122437560).

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

46906440 is a wasteful number, since it uses less digits than its factorization.

46906440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 46906440 is about 6848.8276369025. The cubic root of 46906440 is about 360.6429866968.

The spelling of 46906440 in words is "forty-six million, nine hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 2939 3192 3990 5320 5878 7980 8817 11756 14695 15960 17634 20573 23512 29390 35268 41146 44085 55841 58780 61719 70536 82292 88170 102865 111682 117560 123438 164584 167523 176340 205730 223364 246876 279205 308595 335046 352680 390887 411460 446728 493752 558410 617190 670092 781774 822920 837615 1116820 1172661 1234380 1340184 1563548 1675230 1954435 2233640 2345322 2468760 3127096 3350460 3908870 4690644 5863305 6700920 7817740 9381288 11726610 15635480 23453220 46906440