Search a number
-
+
148100544 = 26322231153
BaseRepresentation
bin10001101001111…
…01010111000000
3101022200021202100
420310331113000
5300403204134
622410150400
73445556004
oct1064752700
9338607670
10148100544
1176665149
1241722400
13248b5477
1415952704
15d006999
hex8d3d5c0

148100544 has 84 divisors (see below), whose sum is σ = 426776896. Its totient is φ = 49102848.

The previous prime is 148100531. The next prime is 148100567. The reversal of 148100544 is 445001841.

It is a happy number.

148100544 is a `hidden beast` number, since 14 + 8 + 100 + 544 = 666.

It is a super-2 number, since 2×1481005442 = 43867542266191872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 127872 + ... + 129024.

Almost surely, 2148100544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148100544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213388448).

148100544 is an abundant number, since it is smaller than the sum of its proper divisors (278676352).

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

148100544 is a wasteful number, since it uses less digits than its factorization.

148100544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 148100544 is about 12169.6566919531. The cubic root of 148100544 is about 529.0770027617.

The spelling of 148100544 in words is "one hundred forty-eight million, one hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 1153 1338 1784 2007 2306 2676 3459 3568 4014 4612 5352 6918 7136 8028 9224 10377 10704 13836 14272 16056 18448 20754 21408 27672 32112 36896 41508 42816 55344 64224 73792 83016 110688 128448 166032 221376 257119 332064 514238 664128 771357 1028476 1542714 2056952 2314071 3085428 4113904 4628142 6170856 8227808 9256284 12341712 16455616 18512568 24683424 37025136 49366848 74050272 148100544