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148313424 = 24372931491
BaseRepresentation
bin10001101011100…
…01010101010000
3101100002002202210
420311301111100
5300432012144
622414512120
73450433440
oct1065612520
9340062683
10148313424
11767a0086
1241805640
132495b32c
14159aa120
15d049ab9
hex8d71550

148313424 has 160 divisors (see below), whose sum is σ = 468541440. Its totient is φ = 39513600.

The previous prime is 148313371. The next prime is 148313437. The reversal of 148313424 is 424313841.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148313391 and 148313400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301819 + ... + 302309.

It is an arithmetic number, because the mean of its divisors is an integer number (2928384).

Almost surely, 2148313424 is an apocalyptic number.

148313424 is a gapful number since it is divisible by the number (14) 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 148313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234270720).

148313424 is an abundant number, since it is smaller than the sum of its proper divisors (320228016).

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

148313424 is a wasteful number, since it uses less digits than its factorization.

148313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 148313424 is about 12178.3998948959. The cubic root of 148313424 is about 529.3303801578.

The spelling of 148313424 in words is "one hundred forty-eight million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 31 42 48 56 58 62 84 87 93 112 116 124 168 174 186 203 217 232 248 336 348 372 406 434 464 491 496 609 651 696 744 812 868 899 982 1218 1302 1392 1473 1488 1624 1736 1798 1964 2436 2604 2697 2946 3248 3437 3472 3596 3928 4872 5208 5394 5892 6293 6874 7192 7856 9744 10311 10416 10788 11784 12586 13748 14239 14384 15221 18879 20622 21576 23568 25172 27496 28478 30442 37758 41244 42717 43152 45663 50344 54992 56956 60884 75516 82488 85434 91326 99673 100688 106547 113912 121768 151032 164976 170868 182652 199346 213094 227824 243536 299019 302064 319641 341736 365304 398692 426188 441409 598038 639282 683472 730608 797384 852376 882818 1196076 1278564 1324227 1594768 1704752 1765636 2392152 2557128 2648454 3089863 3531272 4784304 5114256 5296908 6179726 7062544 9269589 10593816 12359452 18539178 21187632 24718904 37078356 49437808 74156712 148313424