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146538496 = 2181343
BaseRepresentation
bin10001011110000…
…00000000000000
3101012201221000201
420233000000000
5300003212441
622312454544
73426361636
oct1057000000
9335657021
10146538496
11757985a5
12410aa454
1324489490
1415667356
15cce8c31
hex8bc0000

146538496 has 76 divisors (see below), whose sum is σ = 322960792. Its totient is φ = 66060288.

The previous prime is 146538493. The next prime is 146538499. The reversal of 146538496 is 694835641.

It is an interprime number because it is at equal distance from previous prime (146538493) and next prime (146538499).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146538493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3407851 + ... + 3407893.

Almost surely, 2146538496 is an apocalyptic number.

146538496 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 146538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161480396).

146538496 is an abundant number, since it is smaller than the sum of its proper divisors (176422296).

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

146538496 is an frugal number, since it uses more digits than its factorization.

146538496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 146538496 is about 12105.3085875578. The cubic root of 146538496 is about 527.2103285940.

The spelling of 146538496 in words is "one hundred forty-six million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 512 559 688 832 1024 1118 1376 1664 2048 2236 2752 3328 4096 4472 5504 6656 8192 8944 11008 13312 16384 17888 22016 26624 32768 35776 44032 53248 65536 71552 88064 106496 131072 143104 176128 212992 262144 286208 352256 425984 572416 704512 851968 1144832 1409024 1703936 2289664 2818048 3407872 4579328 5636096 9158656 11272192 18317312 36634624 73269248 146538496