Search a number
-
+
46649040 = 2435194371
BaseRepresentation
bin1011000111110…
…0111011010000
310020210000110020
42301330323100
543420232130
64343503440
71104340014
oct261747320
9106700406
1046649040
1124372129
1213757b80
1398840a9
1462a4544
154166e10
hex2c7ced0

46649040 has 40 divisors (see below), whose sum is σ = 144612768. Its totient is φ = 12439680.

The previous prime is 46649033. The next prime is 46649041. The reversal of 46649040 is 4094664.

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

It is a super-2 number, since 2×466490402 = 4352265865843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46648992 and 46649010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46649041) 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, 96946 + ... + 97425.

Almost surely, 246649040 is an apocalyptic number.

46649040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46649040 is an abundant number, since it is smaller than the sum of its proper divisors (97963728).

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

46649040 is a wasteful number, since it uses less digits than its factorization.

46649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194387 (or 194381 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 46649040 is about 6830.0102488942. The cubic root of 46649040 is about 359.9820978752.

The spelling of 46649040 in words is "forty-six million, six hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 194371 388742 583113 777484 971855 1166226 1554968 1943710 2332452 2915565 3109936 3887420 4664904 5831130 7774840 9329808 11662260 15549680 23324520 46649040