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45807996 = 223131723751
BaseRepresentation
bin1010111010111…
…1100101111100
310012012021202110
42232233211330
543211323441
64313454020
71064235003
oct256574574
9105167673
1045807996
1123948253
1213411310
13964b330
146125c3a
15404cb16
hex2baf97c

45807996 has 96 divisors (see below), whose sum is σ = 127346688. Its totient is φ = 12672000.

The previous prime is 45807989. The next prime is 45807997. The reversal of 45807996 is 69970854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45807997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60621 + ... + 61371.

It is an arithmetic number, because the mean of its divisors is an integer number (1326528).

Almost surely, 245807996 is an apocalyptic number.

45807996 is a gapful number since it is divisible by the number (46) 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 45807996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63673344).

45807996 is an abundant number, since it is smaller than the sum of its proper divisors (81538692).

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

45807996 is a wasteful number, since it uses less digits than its factorization.

45807996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 45807996 is about 6768.1604590908. The cubic root of 45807996 is about 357.8055704855.

The spelling of 45807996 in words is "forty-five million, eight hundred seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 598 663 751 782 884 897 1173 1196 1326 1502 1564 1794 2253 2346 2652 3004 3588 4506 4692 5083 9012 9763 10166 12767 15249 17273 19526 20332 25534 29289 30498 34546 38301 39052 51068 51819 58578 60996 69092 76602 103638 117156 153204 165971 207276 224549 293641 331942 449098 497913 587282 663884 673647 880923 898196 995826 1174564 1347294 1761846 1991652 2694588 3523692 3817333 7634666 11451999 15269332 22903998 45807996