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122433048 = 233217234349
BaseRepresentation
bin1110100110000…
…10111000011000
322112101020120100
413103002320120
5222320324143
620052055400
73014443443
oct723027030
9275336510
10122433048
1163123841
1235004560
131c4994ba
141239065a
15ab366d3
hex74c2e18

122433048 has 96 divisors (see below), whose sum is σ = 366444000. Its totient is φ = 36731904.

The previous prime is 122433019. The next prime is 122433067. The reversal of 122433048 is 840334221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25978 + ... + 30326.

It is an arithmetic number, because the mean of its divisors is an integer number (3817125).

Almost surely, 2122433048 is an apocalyptic number.

122433048 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 122433048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183222000).

122433048 is an abundant number, since it is smaller than the sum of its proper divisors (244010952).

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

122433048 is a wasteful number, since it uses less digits than its factorization.

122433048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 122433048 is about 11064.9468141514. The cubic root of 122433048 is about 496.5536979128.

Adding to 122433048 its reverse (840334221), we get a palindrome (962767269).

The spelling of 122433048 in words is "one hundred twenty-two million, four hundred thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1656 2346 3128 3519 4349 4692 7038 8698 9384 13047 14076 17396 26094 28152 34792 39141 52188 73933 78282 100027 104376 147866 156564 200054 221799 295732 300081 313128 400108 443598 591464 600162 665397 800216 887196 900243 1200324 1330794 1700459 1774392 1800486 2400648 2661588 3400918 3600972 5101377 5323176 6801836 7201944 10202754 13603672 15304131 20405508 30608262 40811016 61216524 122433048