Search a number
-
+
46561368 = 23372172137
BaseRepresentation
bin1011000110011…
…1100001011000
310020121120012010
42301213201120
543404430433
64341545520
71103523300
oct261474130
9106546163
1046561368
1124312277
12137152a0
139853209
146280600
15414ae63
hex2c67858

46561368 has 144 divisors (see below), whose sum is σ = 144891720. Its totient is φ = 12429312.

The previous prime is 46561357. The next prime is 46561369. The reversal of 46561368 is 86316564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46561369) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339796 + ... + 339932.

Almost surely, 246561368 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 46561368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72445860).

46561368 is an abundant number, since it is smaller than the sum of its proper divisors (98330352).

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

46561368 is a wasteful number, since it uses less digits than its factorization.

46561368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 46561368 is about 6823.5890849318. The cubic root of 46561368 is about 359.7564401938.

The spelling of 46561368 in words is "forty-six million, five hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 137 147 168 196 204 238 274 289 294 357 392 408 411 476 548 578 588 714 822 833 867 952 959 1096 1156 1176 1428 1644 1666 1734 1918 2023 2312 2329 2499 2856 2877 3288 3332 3468 3836 4046 4658 4998 5754 6069 6664 6713 6936 6987 7672 8092 9316 9996 11508 12138 13426 13974 14161 16184 16303 18632 19992 20139 23016 24276 26852 27948 28322 32606 39593 40278 42483 48552 48909 53704 55896 56644 65212 79186 80556 84966 97818 113288 114121 118779 130424 158372 161112 169932 195636 228242 237558 277151 316744 339864 342363 391272 456484 475116 554302 684726 831453 912968 950232 1108604 1369452 1662906 1940057 2217208 2738904 3325812 3880114 5820171 6651624 7760228 11640342 15520456 23280684 46561368