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148202496 = 21032131237
BaseRepresentation
bin10001101010101…
…10010000000000
3101022212110121100
420311112100000
5300414434441
622412254400
73446462151
oct1065262000
9338773540
10148202496
1176724802
1241771400
132491c9b0
141597b928
15d026cb6
hex8d56400

148202496 has 132 divisors (see below), whose sum is σ = 461221852. Its totient is φ = 45563904.

The previous prime is 148202473. The next prime is 148202497. The reversal of 148202496 is 694202841.

148202496 is a `hidden beast` number, since 148 + 20 + 2 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 83174400 = 8064^2 + 9120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 148202496.

It is not an unprimeable number, because it can be changed into a prime (148202497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119190 + ... + 120426.

Almost surely, 2148202496 is an apocalyptic number.

148202496 is a gapful number since it is divisible by the number (16) 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 148202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230610926).

148202496 is an abundant number, since it is smaller than the sum of its proper divisors (313019356).

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

148202496 is a wasteful number, since it uses less digits than its factorization.

148202496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 148202496 is about 12173.8447501190. The cubic root of 148202496 is about 529.1983799568.

The spelling of 148202496 in words is "one hundred forty-eight million, two hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1237 1248 1536 1664 1872 2304 2474 2496 3072 3328 3711 3744 4608 4948 4992 6656 7422 7488 9216 9896 9984 11133 13312 14844 14976 16081 19792 19968 22266 29688 29952 32162 39584 39936 44532 48243 59376 59904 64324 79168 89064 96486 118752 119808 128648 144729 158336 178128 192972 237504 257296 289458 316672 356256 385944 475008 514592 578916 633344 712512 771888 950016 1029184 1157832 1266688 1425024 1543776 1900032 2058368 2315664 2850048 3087552 3800064 4116736 4631328 5700096 6175104 8233472 9262656 11400192 12350208 16466944 18525312 24700416 37050624 49400832 74101248 148202496