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148490472 = 233131937677
BaseRepresentation
bin10001101100111…
…00100011101000
3101100102002122010
420312130203220
5301003143342
622422355520
73452101554
oct1066344350
9340362563
10148490472
11769010a9
124188bba0
13249c0ab0
1415a14864
15d08229c
hex8d9c8e8

148490472 has 128 divisors (see below), whose sum is σ = 432835200. Its totient is φ = 42052608.

The previous prime is 148490429. The next prime is 148490473. The reversal of 148490472 is 274094841.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148490472.

It is not an unprimeable number, because it can be changed into a prime (148490473) 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 31 ways as a sum of consecutive naturals, for example, 218998 + ... + 219674.

It is an arithmetic number, because the mean of its divisors is an integer number (3381525).

Almost surely, 2148490472 is an apocalyptic number.

148490472 is a gapful number since it is divisible by the number (12) 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 148490472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216417600).

148490472 is an abundant number, since it is smaller than the sum of its proper divisors (284344728).

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

148490472 is a wasteful number, since it uses less digits than its factorization.

148490472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 148490472 is about 12185.6666621076. Note that the first 5 decimals coincide. The cubic root of 148490472 is about 529.5409244139.

The spelling of 148490472 in words is "one hundred forty-eight million, four hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 37 38 39 52 57 74 76 78 104 111 114 148 152 156 222 228 247 296 312 444 456 481 494 677 703 741 888 962 988 1354 1406 1443 1482 1924 1976 2031 2109 2708 2812 2886 2964 3848 4062 4218 5416 5624 5772 5928 8124 8436 8801 9139 11544 12863 16248 16872 17602 18278 25049 25726 26403 27417 35204 36556 38589 50098 51452 52806 54834 70408 73112 75147 77178 100196 102904 105612 109668 150294 154356 167219 200392 211224 219336 300588 308712 325637 334438 475931 501657 601176 651274 668876 951862 976911 1003314 1302548 1337752 1427793 1903724 1953822 2006628 2605096 2855586 3807448 3907644 4013256 5711172 6187103 7815288 11422344 12374206 18561309 24748412 37122618 49496824 74245236 148490472