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148824816 = 2437641691
BaseRepresentation
bin10001101111011…
…10001011110000
3101101001002021020
420313232023300
5301044343231
622433455440
73454663410
oct1067561360
9341032236
10148824816
117700a318
1241a11580
1324aaa02a
1415aa0640
15d0eb396
hex8dee2f0

148824816 has 80 divisors (see below), whose sum is σ = 440709888. Its totient is φ = 42393600.

The previous prime is 148824791. The next prime is 148824827. The reversal of 148824816 is 618428841.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215031 + ... + 215721.

Almost surely, 2148824816 is an apocalyptic number.

148824816 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 148824816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220354944).

148824816 is an abundant number, since it is smaller than the sum of its proper divisors (291885072).

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

148824816 is a wasteful number, since it uses less digits than its factorization.

148824816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 148824816 is about 12199.3776890463. The cubic root of 148824816 is about 529.9380679977.

The spelling of 148824816 in words is "one hundred forty-eight million, eight hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 641 691 1282 1382 1923 2073 2564 2764 3846 4146 4487 4837 5128 5528 7692 8292 8974 9674 10256 11056 13461 14511 15384 16584 17948 19348 26922 29022 30768 33168 35896 38696 53844 58044 71792 77392 107688 116088 215376 232176 442931 885862 1328793 1771724 2657586 3100517 3543448 5315172 6201034 7086896 9301551 10630344 12402068 18603102 21260688 24804136 37206204 49608272 74412408 148824816