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46306640 = 2451779431
BaseRepresentation
bin1011000010100…
…1010101010000
310020010121202202
42300221111100
543323303030
64332302332
71101412532
oct260512520
9106117682
1046306640
1124158956
12136119a8
1397942a3
146215852
1540ea745
hex2c29550

46306640 has 80 divisors (see below), whose sum is σ = 115706880. Its totient is φ = 17172480.

The previous prime is 46306639. The next prime is 46306643. The reversal of 46306640 is 4660364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46306643) 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, 107225 + ... + 107655.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 246306640 is an apocalyptic number.

46306640 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 46306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

46306640 is an abundant number, since it is smaller than the sum of its proper divisors (69400240).

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

46306640 is a wasteful number, since it uses less digits than its factorization.

46306640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 46306640 is about 6804.8982358298. The cubic root of 46306640 is about 359.0991881482.

The spelling of 46306640 in words is "forty-six million, three hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 431 632 680 790 862 1264 1343 1360 1580 1724 2155 2686 3160 3448 4310 5372 6320 6715 6896 7327 8620 10744 13430 14654 17240 21488 26860 29308 34049 34480 36635 53720 58616 68098 73270 107440 117232 136196 146540 170245 272392 293080 340490 544784 578833 586160 680980 1157666 1361960 2315332 2723920 2894165 4630664 5788330 9261328 11576660 23153320 46306640