Search a number
-
+
45303648 = 25313311171
BaseRepresentation
bin1010110011010…
…0011101100000
310011020122220220
42230310131200
543044204043
64255003040
71060034415
oct254643540
9104218826
1045303648
1123633335
1213209480
1395028c0
14603410c
153e9d483
hex2b34760

45303648 has 96 divisors (see below), whose sum is σ = 132314112. Its totient is φ = 13478400.

The previous prime is 45303637. The next prime is 45303653. The reversal of 45303648 is 84630354.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38103 + ... + 39273.

It is an arithmetic number, because the mean of its divisors is an integer number (1378272).

Almost surely, 245303648 is an apocalyptic number.

45303648 is a gapful number since it is divisible by the number (48) 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 45303648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66157056).

45303648 is an abundant number, since it is smaller than the sum of its proper divisors (87010464).

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

45303648 is a wasteful number, since it uses less digits than its factorization.

45303648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 45303648 is about 6730.7984667497. The cubic root of 45303648 is about 356.4875699469.

The spelling of 45303648 in words is "forty-five million, three hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1171 1209 1248 1488 1612 2342 2418 2976 3224 3513 4684 4836 6448 7026 9368 9672 12896 14052 15223 18736 19344 28104 30446 36301 37472 38688 45669 56208 60892 72602 91338 108903 112416 121784 145204 182676 217806 243568 290408 365352 435612 471913 487136 580816 730704 871224 943826 1161632 1415739 1461408 1742448 1887652 2831478 3484896 3775304 5662956 7550608 11325912 15101216 22651824 45303648