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148846900 = 22521787557
BaseRepresentation
bin10001101111100…
…11100100110100
3101101002012120011
420313303210310
5301101100100
622434150004
73455114656
oct1067634464
9341065504
10148846900
1177024974
1241a22304
1324ab70b7
1415aa86d6
15d102bba
hex8df3934

148846900 has 36 divisors (see below), whose sum is σ = 342001548. Its totient is φ = 56035840.

The previous prime is 148846897. The next prime is 148846991. The reversal of 148846900 is 9648841.

It can be written as a sum of positive squares in 6 ways, for example, as 13264164 + 135582736 = 3642^2 + 11644^2 .

It is a super-2 number, since 2×1488469002 = 44310799279220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42079 + ... + 45478.

It is an arithmetic number, because the mean of its divisors is an integer number (9500043).

Almost surely, 2148846900 is an apocalyptic number.

148846900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148846900 is an abundant number, since it is smaller than the sum of its proper divisors (193154648).

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

148846900 is a wasteful number, since it uses less digits than its factorization.

148846900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87588 (or 87581 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 148846900 is about 12200.2827836079. The cubic root of 148846900 is about 529.9642790687.

The spelling of 148846900 in words is "one hundred forty-eight million, eight hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 87557 175114 350228 437785 875570 1488469 1751140 2188925 2976938 4377850 5953876 7442345 8755700 14884690 29769380 37211725 74423450 148846900