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148393440 = 25325137927
BaseRepresentation
bin10001101100001…
…00110111100000
3101100020011112100
420312010313200
5300442042230
622420330400
73451215636
oct1066046740
9340204470
10148393440
1176845208
1241843a00
1324988890
14159cb356
15d063660
hex8d84de0

148393440 has 144 divisors (see below), whose sum is σ = 545414688. Its totient is φ = 36523008.

The previous prime is 148393433. The next prime is 148393463. The reversal of 148393440 is 44393841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1483934402 = 44041226070067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148393395 and 148393404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14757 + ... + 22683.

It is an arithmetic number, because the mean of its divisors is an integer number (3787602).

Almost surely, 2148393440 is an apocalyptic number.

148393440 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 148393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272707344).

148393440 is an abundant number, since it is smaller than the sum of its proper divisors (397021248).

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

148393440 is a wasteful number, since it uses less digits than its factorization.

148393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 148393440 is about 12181.6846125649. The cubic root of 148393440 is about 529.4255553706.

The spelling of 148393440 in words is "one hundred forty-eight million, three hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 7927 9360 15854 18720 23781 31708 39635 47562 63416 71343 79270 95124 103051 118905 126832 142686 158540 190248 206102 237810 253664 285372 309153 317080 356715 380496 412204 475620 515255 570744 618306 634160 713430 760992 824408 927459 951240 1030510 1141488 1236612 1268320 1426860 1545765 1648816 1854918 1902480 2061020 2282976 2473224 2853720 3091530 3297632 3709836 3804960 4122040 4637295 4946448 5707440 6183060 7419672 8244080 9274590 9892896 11414880 12366120 14839344 16488160 18549180 24732240 29678688 37098360 49464480 74196720 148393440