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46069640 = 2356179239
BaseRepresentation
bin1010111110111…
…1011110001000
310012200120122222
42233233132020
543243212030
64323233212
71066404551
oct257573610
9105616588
1046069640
1124006891
1213518808
139710456
146193328
1540a03e5
hex2bef788

46069640 has 64 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 17821440.

The previous prime is 46069637. The next prime is 46069649. The reversal of 46069640 is 4696064.

It is a super-3 number, since 3×460696403 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46069640.

It is not an unprimeable number, because it can be changed into a prime (46069649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192641 + ... + 192879.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 246069640 is an apocalyptic number.

46069640 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 46069640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

46069640 is an abundant number, since it is smaller than the sum of its proper divisors (61066360).

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

46069640 is a wasteful number, since it uses less digits than its factorization.

46069640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 46069640 is about 6787.4619704275. The cubic root of 46069640 is about 358.4855100296.

The spelling of 46069640 in words is "forty-six million, sixty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 239 244 305 316 395 478 488 610 632 790 956 1195 1220 1580 1912 2390 2440 3160 4780 4819 9560 9638 14579 18881 19276 24095 29158 37762 38552 48190 58316 72895 75524 94405 96380 116632 145790 151048 188810 192760 291580 377620 583160 755240 1151741 2303482 4606964 5758705 9213928 11517410 23034820 46069640