Search a number
-
+
46996248 = 233133143113
BaseRepresentation
bin1011001101000…
…1101100011000
310021102122201210
42303101230120
544012334443
64355143120
71110314205
oct263215430
9107378653
1046996248
1124589a82
12138a4aa0
139976140
146354cac
1541d4c33
hex2cd1b18

46996248 has 128 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 13547520.

The previous prime is 46996207. The next prime is 46996283. The reversal of 46996248 is 84269964.

It is a junction number, because it is equal to n+sod(n) for n = 46996197 and 46996206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415840 + ... + 415952.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 246996248 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 46996248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

46996248 is an abundant number, since it is smaller than the sum of its proper divisors (87833832).

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

46996248 is a wasteful number, since it uses less digits than its factorization.

46996248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 46996248 is about 6855.3809522156. The cubic root of 46996248 is about 360.8730046977.

The spelling of 46996248 in words is "forty-six million, nine hundred ninety-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 43 52 62 78 86 93 104 113 124 129 156 172 186 226 248 258 312 339 344 372 403 452 516 559 678 744 806 904 1032 1118 1209 1333 1356 1469 1612 1677 2236 2418 2666 2712 2938 3224 3354 3503 3999 4407 4472 4836 4859 5332 5876 6708 7006 7998 8814 9672 9718 10509 10664 11752 13416 14012 14577 15996 17329 17628 19436 21018 28024 29154 31992 34658 35256 38872 42036 45539 51987 58308 63167 69316 84072 91078 103974 116616 126334 136617 138632 150629 182156 189501 207948 252668 273234 301258 364312 379002 415896 451887 505336 546468 602516 758004 903774 1092936 1205032 1516008 1807548 1958177 3615096 3916354 5874531 7832708 11749062 15665416 23498124 46996248