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148363840 = 265541857
BaseRepresentation
bin10001101011111…
…01101001000000
3101100011122221001
420311331221000
5300440120330
622415541344
73451033432
oct1065755100
9340148831
10148363840
1176824a49
124182a854
1324978271
14159c0652
15d0599ca
hex8d7da40

148363840 has 56 divisors (see below), whose sum is σ = 354357432. Its totient is φ = 59166720.

The previous prime is 148363771. The next prime is 148363843. The reversal of 148363840 is 48363841.

It can be written as a sum of positive squares in 4 ways, for example, as 37356544 + 111007296 = 6112^2 + 10536^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148363840.

It is not an unprimeable number, because it can be changed into a prime (148363843) by changing a digit.

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, 172692 + ... + 173548.

Almost surely, 2148363840 is an apocalyptic number.

148363840 is a gapful number since it is divisible by the number (10) 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 148363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177178716).

148363840 is an abundant number, since it is smaller than the sum of its proper divisors (205993592).

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

148363840 is an equidigital number, since it uses as much as digits as its factorization.

148363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 148363840 is about 12180.4696132785. The cubic root of 148363840 is about 529.3903515716.

Subtracting from 148363840 its reverse (48363841), we obtain a palindrome (99999999).

The spelling of 148363840 in words is "one hundred forty-eight million, three hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 541 857 1082 1714 2164 2705 3428 4285 4328 5410 6856 8570 8656 10820 13712 17140 17312 21640 27424 34280 34624 43280 54848 68560 86560 137120 173120 274240 463637 927274 1854548 2318185 3709096 4636370 7418192 9272740 14836384 18545480 29672768 37090960 74181920 148363840