Search a number
-
+
46098768 = 243977983
BaseRepresentation
bin1010111111011…
…0100101010000
310012202001121210
42233312211100
543300130033
64324020120
71066555512
oct257664520
9105661553
1046098768
1124026761
1213531640
1397207a1
14619dbb2
1540a8d63
hex2bf6950

46098768 has 40 divisors (see below), whose sum is σ = 119331648. Its totient is φ = 15334912.

The previous prime is 46098749. The next prime is 46098779. The reversal of 46098768 is 86789064.

It is a super-2 number, since 2×460987682 = 4250192822235648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 46405 + ... + 47387.

Almost surely, 246098768 is an apocalyptic number.

46098768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46098768 is an abundant number, since it is smaller than the sum of its proper divisors (73232880).

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

46098768 is a wasteful number, since it uses less digits than its factorization.

46098768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 46098768 is about 6789.6073524174. The cubic root of 46098768 is about 358.5610461529.

The spelling of 46098768 in words is "forty-six million, ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 977 983 1954 1966 2931 2949 3908 3932 5862 5898 7816 7864 11724 11796 15632 15728 23448 23592 46896 47184 960391 1920782 2881173 3841564 5762346 7683128 11524692 15366256 23049384 46098768