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148478000 = 24531117397
BaseRepresentation
bin10001101100110…
…01100000110000
3101100101110112012
420312121200300
5301002244000
622422222052
73452020316
oct1066314060
9340343465
10148478000
11768a27a0
1241884928
13249b8208
1415a100b6
15d07d735
hex8d99830

148478000 has 160 divisors (see below), whose sum is σ = 415741248. Its totient is φ = 50688000.

The previous prime is 148477961. The next prime is 148478009. The reversal of 148478000 is 874841.

Added to its reverse (874841) it gives a square (149352841 = 122212).

It is not an unprimeable number, because it can be changed into a prime (148478009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373802 + ... + 374198.

Almost surely, 2148478000 is an apocalyptic number.

148478000 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 148478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207870624).

148478000 is an abundant number, since it is smaller than the sum of its proper divisors (267263248).

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

148478000 is a wasteful number, since it uses less digits than its factorization.

148478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 148478000 is about 12185.1549025854. The cubic root of 148478000 is about 529.5260982790.

Adding to 148478000 its reverse (874841), we get a square (149352841 = 122212).

The spelling of 148478000 in words is "one hundred forty-eight million, four hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 397 400 425 440 500 550 680 748 794 850 880 935 1000 1100 1360 1375 1496 1588 1700 1870 1985 2000 2125 2200 2750 2992 3176 3400 3740 3970 4250 4367 4400 4675 5500 6352 6749 6800 7480 7940 8500 8734 9350 9925 11000 13498 14960 15880 17000 17468 18700 19850 21835 22000 23375 26996 31760 33745 34000 34936 37400 39700 43670 46750 49625 53992 67490 69872 74239 74800 79400 87340 93500 99250 107984 109175 134980 148478 158800 168725 174680 187000 198500 218350 269960 296956 337450 349360 371195 374000 397000 436700 539920 545875 593912 674900 742390 794000 843625 873400 1091750 1187824 1349800 1484780 1687250 1746800 1855975 2183500 2699600 2969560 3374500 3711950 4367000 5939120 6749000 7423900 8734000 9279875 13498000 14847800 18559750 29695600 37119500 74239000 148478000