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46089312 = 2531731911
BaseRepresentation
bin1010111111010…
…0010001100000
310012201120122120
42233310101200
543244324222
64323504240
71066516113
oct257642140
9105646576
1046089312
112401a645
1213528080
1397193a9
14619a57a
1540a615c
hex2bf4460

46089312 has 96 divisors (see below), whose sum is σ = 132378624. Its totient is φ = 13977600.

The previous prime is 46089247. The next prime is 46089313. The reversal of 46089312 is 21398064.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46089313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50137 + ... + 51047.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 246089312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

46089312 is an abundant number, since it is smaller than the sum of its proper divisors (86289312).

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

46089312 is a wasteful number, since it uses less digits than its factorization.

46089312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 46089312 is about 6788.9109583202. The cubic root of 46089312 is about 358.5365278902.

The spelling of 46089312 in words is "forty-six million, eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 911 992 1054 1488 1581 1632 1822 2108 2733 2976 3162 3644 4216 5466 6324 7288 8432 10932 12648 14576 15487 16864 21864 25296 28241 29152 30974 43728 46461 50592 56482 61948 84723 87456 92922 112964 123896 169446 185844 225928 247792 338892 371688 451856 480097 495584 677784 743376 903712 960194 1355568 1440291 1486752 1920388 2711136 2880582 3840776 5761164 7681552 11522328 15363104 23044656 46089312