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148803564 = 223713433169
BaseRepresentation
bin10001101111010…
…00111111101100
3101101000000010010
420313220333230
5301043203224
622433213220
73454544430
oct1067507754
9341000103
10148803564
1176aa5358
1241a01210
1324aa0460
1415a969c0
15d0e4e29
hex8de8fec

148803564 has 96 divisors (see below), whose sum is σ = 437409280. Its totient is φ = 38320128.

The previous prime is 148803563. The next prime is 148803581. The reversal of 148803564 is 465308841.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (148803563) 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, 45372 + ... + 48540.

Almost surely, 2148803564 is an apocalyptic number.

148803564 is a gapful number since it is divisible by the number (14) 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 148803564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218704640).

148803564 is an abundant number, since it is smaller than the sum of its proper divisors (288605716).

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

148803564 is a wasteful number, since it uses less digits than its factorization.

148803564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 148803564 is about 12198.5066299117. The cubic root of 148803564 is about 529.9128419630.

The spelling of 148803564 in words is "one hundred forty-eight million, eight hundred three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1092 1118 1204 1677 1806 2236 3169 3354 3612 3913 6338 6708 7826 9507 11739 12676 15652 19014 22183 23478 38028 41197 44366 46956 66549 82394 88732 123591 133098 136267 164788 247182 266196 272534 288379 408801 494364 545068 576758 817602 865137 953869 1153516 1635204 1730274 1771471 1907738 2861607 3460548 3542942 3815476 5314413 5723214 7085884 10628826 11446428 12400297 21257652 24800594 37200891 49601188 74401782 148803564