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148770500 = 22532331277
BaseRepresentation
bin10001101111000…
…00111011000100
3101100221022202112
420313200323010
5301041124000
622432400152
73454346144
oct1067407304
9340838675
10148770500
1176a8252a
12419a6058
1324a8b3a8
1415a88924
15d0da235
hex8de0ec4

148770500 has 48 divisors (see below), whose sum is σ = 326564784. Its totient is φ = 59206400.

The previous prime is 148770491. The next prime is 148770511. The reversal of 148770500 is 5077841.

It can be written as a sum of positive squares in 8 ways, for example, as 59505796 + 89264704 = 7714^2 + 9448^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115862 + ... + 117138.

It is an arithmetic number, because the mean of its divisors is an integer number (6803433).

Almost surely, 2148770500 is an apocalyptic number.

148770500 is a gapful number since it is divisible by the number (10) 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 148770500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163282392).

148770500 is an abundant number, since it is smaller than the sum of its proper divisors (177794284).

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

148770500 is a wasteful number, since it uses less digits than its factorization.

148770500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 148770500 is about 12197.1513067601. The cubic root of 148770500 is about 529.8735903581.

The spelling of 148770500 in words is "one hundred forty-eight million, seven hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 233 250 466 500 932 1165 1277 2330 2554 4660 5108 5825 6385 11650 12770 23300 25540 29125 31925 58250 63850 116500 127700 159625 297541 319250 595082 638500 1190164 1487705 2975410 5950820 7438525 14877050 29754100 37192625 74385250 148770500