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148286976 = 293293329
BaseRepresentation
bin10001101011010…
…10111000000000
3101100000202111020
420311222320000
5300430140401
622414145440
73450263355
oct1065527000
9340022436
10148286976
1176782222
12417b2280
132494c296
14159a062c
15d041d36
hex8d6ae00

148286976 has 80 divisors (see below), whose sum is σ = 408790800. Its totient is φ = 47710208.

The previous prime is 148286969. The next prime is 148287023. The reversal of 148286976 is 679682841.

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 7 ways as a sum of consecutive naturals, for example, 42880 + ... + 46208.

It is an arithmetic number, because the mean of its divisors is an integer number (5109885).

Almost surely, 2148286976 is an apocalyptic number.

148286976 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 148286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204395400).

148286976 is an abundant number, since it is smaller than the sum of its proper divisors (260503824).

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

148286976 is an equidigital number, since it uses as much as digits as its factorization.

148286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3363 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 148286976 is about 12177.3139895463. The cubic root of 148286976 is about 529.2989139970.

The spelling of 148286976 in words is "one hundred forty-eight million, two hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2784 3329 3712 5568 6658 7424 9987 11136 13316 14848 19974 22272 26632 39948 44544 53264 79896 96541 106528 159792 193082 213056 289623 319584 386164 426112 579246 639168 772328 852224 1158492 1278336 1544656 1704448 2316984 2556672 3089312 4633968 5113344 6178624 9267936 12357248 18535872 24714496 37071744 49428992 74143488 148286976