Search a number
-
+
148547808 = 2532796529
BaseRepresentation
bin10001101101010…
…10100011100000
3101100112000021200
420312222203200
5301012012213
622423521200
73452430663
oct1066524340
9340460250
10148547808
1176940192
12418b9200
1324a10c16
1415a2b6da
15d094273
hex8daa8e0

148547808 has 72 divisors (see below), whose sum is σ = 427845600. Its totient is φ = 48881664.

The previous prime is 148547801. The next prime is 148547813. The reversal of 148547808 is 808745841.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148547801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19488 + ... + 26016.

It is an arithmetic number, because the mean of its divisors is an integer number (5942300).

Almost surely, 2148547808 is an apocalyptic number.

148547808 is a gapful number since it is divisible by the number (18) 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 148547808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213922800).

148547808 is an abundant number, since it is smaller than the sum of its proper divisors (279297792).

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

148547808 is a wasteful number, since it uses less digits than its factorization.

148547808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 148547808 is about 12188.0190351016. The cubic root of 148547808 is about 529.6090721118.

The spelling of 148547808 in words is "one hundred forty-eight million, five hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 6529 7584 11376 13058 19587 22752 26116 39174 52232 58761 78348 104464 117522 156696 208928 235044 313392 470088 515791 626784 940176 1031582 1547373 1880352 2063164 3094746 4126328 4642119 6189492 8252656 9284238 12378984 16505312 18568476 24757968 37136952 49515936 74273904 148547808