Search a number
-
+
46242680 = 23511105097
BaseRepresentation
bin1011000001100…
…1101101111000
310020000101000212
42300121231320
543314231210
64331050252
71101025211
oct260315570
9106011025
1046242680
11241148a0
12135a0988
139771143
1461da408
1540d6805
hex2c19b78

46242680 has 32 divisors (see below), whose sum is σ = 113505840. Its totient is φ = 16815360.

The previous prime is 46242671. The next prime is 46242739. The reversal of 46242680 is 8624264.

It is a happy number.

46242680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52109 + ... + 52988.

Almost surely, 246242680 is an apocalyptic number.

46242680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46242680 is an abundant number, since it is smaller than the sum of its proper divisors (67263160).

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

46242680 is a wasteful number, since it uses less digits than its factorization.

46242680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105119 (or 105115 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 46242680 is about 6800.1970559683. The cubic root of 46242680 is about 358.9337794231.

The spelling of 46242680 in words is "forty-six million, two hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 105097 210194 420388 525485 840776 1050970 1156067 2101940 2312134 4203880 4624268 5780335 9248536 11560670 23121340 46242680