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147210048 = 263473389
BaseRepresentation
bin10001100011000…
…11111101000000
3101021000001020000
420301203331000
5300141210143
622335120000
73435156546
oct1061437500
9337001200
10147210048
11761070a7
1241373000
132466304b
141579dd96
15cdccbd3
hex8c63f40

147210048 has 140 divisors (see below), whose sum is σ = 443491620. Its totient is φ = 48273408.

The previous prime is 147210047. The next prime is 147210053. The reversal of 147210048 is 840012741.

It can be written as a sum of positive squares in 2 ways, for example, as 58247424 + 88962624 = 7632^2 + 9432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147210047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 378238 + ... + 378626.

Almost surely, 2147210048 is an apocalyptic number.

147210048 is a gapful number since it is divisible by the number (18) 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 147210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221745810).

147210048 is an abundant number, since it is smaller than the sum of its proper divisors (296281572).

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

147210048 is an equidigital number, since it uses as much as digits as its factorization.

147210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 147210048 is about 12133.0147943535. The cubic root of 147210048 is about 528.0144624138.

Adding to 147210048 its reverse (840012741), we get a palindrome (987222789).

The spelling of 147210048 in words is "one hundred forty-seven million, two hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 144 146 162 192 216 219 288 292 324 389 432 438 576 584 648 657 778 864 876 1167 1168 1296 1314 1556 1728 1752 1971 2334 2336 2592 2628 3112 3501 3504 3942 4668 4672 5184 5256 5913 6224 7002 7008 7884 9336 10503 10512 11826 12448 14004 14016 15768 18672 21006 21024 23652 24896 28008 28397 31509 31536 37344 42012 42048 47304 56016 56794 63018 63072 74688 84024 85191 94608 112032 113588 126036 126144 168048 170382 189216 224064 227176 252072 255573 336096 340764 378432 454352 504144 511146 672192 681528 766719 908704 1008288 1022292 1363056 1533438 1817408 2016576 2044584 2300157 2726112 3066876 4089168 4600314 5452224 6133752 8178336 9200628 12267504 16356672 18401256 24535008 36802512 49070016 73605024 147210048