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46281040 = 2451344501
BaseRepresentation
bin1011000010001…
…1000101010000
310020002022122121
42300203011100
543321443130
64331544024
71101245101
oct260430520
9106068577
1046281040
11241406a3
12135bb014
139785740
14620a3a8
1540e2d7a
hex2c23150

46281040 has 40 divisors (see below), whose sum is σ = 115883208. Its totient is φ = 17088000.

The previous prime is 46281007. The next prime is 46281061. The reversal of 46281040 is 4018264.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 44782864 = 1224^2 + 6692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46280996 and 46281014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21211 + ... + 23290.

Almost surely, 246281040 is an apocalyptic number.

46281040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46281040 is an abundant number, since it is smaller than the sum of its proper divisors (69602168).

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

46281040 is a wasteful number, since it uses less digits than its factorization.

46281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44527 (or 44521 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 46281040 is about 6803.0169777827. The cubic root of 46281040 is about 359.0330015725.

The spelling of 46281040 in words is "forty-six million, two hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 44501 89002 178004 222505 356008 445010 578513 712016 890020 1157026 1780040 2314052 2892565 3560080 4628104 5785130 9256208 11570260 23140520 46281040