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148022496 = 25322937479
BaseRepresentation
bin10001101001010…
…10010011100000
3101022112022200200
420310222103200
5300343204441
622404345200
73445112316
oct1064522340
9338468620
10148022496
1176611546
12416a5200
1324888a9b
14159320b6
15cedd7b6
hex8d2a4e0

148022496 has 144 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 46255104.

The previous prime is 148022473. The next prime is 148022509. The reversal of 148022496 is 694220841.

148022496 is a `hidden beast` number, since 148 + 0 + 22 + 496 = 666.

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

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 148022496.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 308785 + ... + 309263.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2148022496 is an apocalyptic number.

148022496 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 148022496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

148022496 is an abundant number, since it is smaller than the sum of its proper divisors (300134304).

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

148022496 is a wasteful number, since it uses less digits than its factorization.

148022496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

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

The square root of 148022496 is about 12166.4496053697. The cubic root of 148022496 is about 528.9840464122.

The spelling of 148022496 in words is "one hundred forty-eight million, twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 37 48 58 72 74 87 96 111 116 144 148 174 222 232 261 288 296 333 348 444 464 479 522 592 666 696 888 928 958 1044 1073 1184 1332 1392 1437 1776 1916 2088 2146 2664 2784 2874 3219 3552 3832 4176 4292 4311 5328 5748 6438 7664 8352 8584 8622 9657 10656 11496 12876 13891 15328 17168 17244 17723 19314 22992 25752 27782 34336 34488 35446 38628 41673 45984 51504 53169 55564 68976 70892 77256 83346 103008 106338 111128 125019 137952 141784 154512 159507 166692 212676 222256 250038 283568 309024 319014 333384 425352 444512 500076 513967 567136 638028 666768 850704 1000152 1027934 1276056 1333536 1541901 1701408 2000304 2055868 2552112 3083802 4000608 4111736 4625703 5104224 6167604 8223472 9251406 12335208 16446944 18502812 24670416 37005624 49340832 74011248 148022496