Search a number
-
+
46366840 = 235132193
BaseRepresentation
bin1011000011100…
…0000001111000
310020020200100101
42300320001320
543332214330
64333445144
71102053202
oct260700170
9106220311
1046366840
112419a103
12136407b4
1397b5800
14622d772
15410d4ca
hex2c38078

46366840 has 96 divisors (see below), whose sum is σ = 119242800. Its totient is φ = 16219008.

The previous prime is 46366823. The next prime is 46366843. The reversal of 46366840 is 4866364.

It is a self number, because there is not a number n which added to its sum of digits gives 46366840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46366843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2440351 + ... + 2440369.

Almost surely, 246366840 is an apocalyptic number.

46366840 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 46366840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59621400).

46366840 is an abundant number, since it is smaller than the sum of its proper divisors (72875960).

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

46366840 is a wasteful number, since it uses less digits than its factorization.

46366840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 46366840 is about 6809.3200835326. The cubic root of 46366840 is about 359.2547339473.

It can be divided in two parts, 4636 and 6840, that added together give a triangular number (11476 = T151).

The spelling of 46366840 in words is "forty-six million, three hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 190 247 260 338 361 380 494 520 676 722 760 845 988 1235 1352 1444 1690 1805 1976 2470 2888 3211 3380 3610 4693 4940 6422 6760 6859 7220 9386 9880 12844 13718 14440 16055 18772 23465 25688 27436 32110 34295 37544 46930 54872 61009 64220 68590 89167 93860 122018 128440 137180 178334 187720 244036 274360 305045 356668 445835 488072 610090 713336 891670 1159171 1220180 1783340 2318342 2440360 3566680 4636684 5795855 9273368 11591710 23183420 46366840