Search a number
-
+
46281720 = 23351953383
BaseRepresentation
bin1011000010001…
…1001111111000
310020002100120210
42300203033320
543322003340
64331551120
71101250062
oct260431770
9106070523
1046281720
1124141161
12135bb4a0
139785b44
14620a732
1540e3180
hex2c233f8

46281720 has 128 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 11441664.

The previous prime is 46281689. The next prime is 46281733. The reversal of 46281720 is 2718264.

46281720 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-3 number, since 3×462817203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 120649 + ... + 121031.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 246281720 is an apocalyptic number.

46281720 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 46281720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649600).

46281720 is an abundant number, since it is smaller than the sum of its proper divisors (103017480).

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

46281720 is a wasteful number, since it uses less digits than its factorization.

46281720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 46281720 is about 6803.0669554253. The cubic root of 46281720 is about 359.0347599689.

Adding to 46281720 its reverse (2718264), we get a palindrome (48999984).

The spelling of 46281720 in words is "forty-six million, two hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 152 159 190 212 228 265 285 318 380 383 424 456 530 570 636 760 766 795 1007 1060 1140 1149 1272 1532 1590 1915 2014 2120 2280 2298 3021 3064 3180 3830 4028 4596 5035 5745 6042 6360 7277 7660 8056 9192 10070 11490 12084 14554 15105 15320 20140 20299 21831 22980 24168 29108 30210 36385 40280 40598 43662 45960 58216 60420 60897 72770 81196 87324 101495 109155 120840 121794 145540 162392 174648 202990 218310 243588 291080 304485 385681 405980 436620 487176 608970 771362 811960 873240 1157043 1217940 1542724 1928405 2314086 2435880 3085448 3856810 4628172 5785215 7713620 9256344 11570430 15427240 23140860 46281720