Search a number
-
+
46100016 = 243571167
BaseRepresentation
bin1010111111011…
…0111000110000
310012202010100000
42233312320300
543300200031
64324030000
71066562244
oct257667060
9105663300
1046100016
1124027696
1213532300
139721221
1461a0424
1540a93e6
hex2bf6e30

46100016 has 120 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 15059520.

The previous prime is 46100003. The next prime is 46100057. The reversal of 46100016 is 61000164.

It is a super-2 number, since 2×461000162 = 4250422950400512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275965 + ... + 276131.

Almost surely, 246100016 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 46100016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

46100016 is an abundant number, since it is smaller than the sum of its proper divisors (90391248).

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

46100016 is a wasteful number, since it uses less digits than its factorization.

46100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 46100016 is about 6789.6992569627. The cubic root of 46100016 is about 358.5642818153.

The spelling of 46100016 in words is "forty-six million, one hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 167 213 216 243 284 324 334 426 432 486 501 568 639 648 668 852 972 1002 1136 1278 1296 1336 1503 1704 1917 1944 2004 2556 2672 3006 3408 3834 3888 4008 4509 5112 5751 6012 7668 8016 9018 10224 11502 11857 12024 13527 15336 17253 18036 23004 23714 24048 27054 30672 34506 35571 36072 40581 46008 47428 54108 69012 71142 72144 81162 92016 94856 106713 108216 138024 142284 162324 189712 213426 216432 276048 284568 320139 324648 426852 569136 640278 649296 853704 960417 1280556 1707408 1920834 2561112 2881251 3841668 5122224 5762502 7683336 11525004 15366672 23050008 46100016