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46385440 = 255674327
BaseRepresentation
bin1011000011110…
…0100100100000
310020021121212021
42300330210200
543333313230
64334111224
71102161343
oct260744440
9106247767
1046385440
1124202082
121364b514
1397c110a
14623645a
154113c7a
hex2c3c920

46385440 has 48 divisors (see below), whose sum is σ = 111246912. Its totient is φ = 18273024.

The previous prime is 46385389. The next prime is 46385447. The reversal of 46385440 is 4458364.

It is a junction number, because it is equal to n+sod(n) for n = 46385396 and 46385405.

It is not an unprimeable number, because it can be changed into a prime (46385447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8557 + ... + 12883.

It is an arithmetic number, because the mean of its divisors is an integer number (2317644).

Almost surely, 246385440 is an apocalyptic number.

46385440 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 46385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55623456).

46385440 is an abundant number, since it is smaller than the sum of its proper divisors (64861472).

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

46385440 is a wasteful number, since it uses less digits than its factorization.

46385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 46385440 is about 6810.6857217170. The cubic root of 46385440 is about 359.3027657213.

The spelling of 46385440 in words is "forty-six million, three hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 4327 5360 8654 10720 17308 21635 34616 43270 69232 86540 138464 173080 289909 346160 579818 692320 1159636 1449545 2319272 2899090 4638544 5798180 9277088 11596360 23192720 46385440