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506432052 = 223272287093
BaseRepresentation
bin11110001011111…
…000101000110100
31022021221102011200
4132023320220310
52014121311202
6122130332500
715356413200
oct3613705064
91267842150
10506432052
1123a95a995
1212172a130
1380bc7949
144b38bb00
152e6d8e1c
hex1e2f8a34

506432052 has 54 divisors (see below), whose sum is σ = 1489156578. Its totient is φ = 144694368.

The previous prime is 506432021. The next prime is 506432083. The reversal of 506432052 is 250234605.

It is an interprime number because it is at equal distance from previous prime (506432021) and next prime (506432083).

It can be written as a sum of positive squares in only one way, i.e., 473323536 + 33108516 = 21756^2 + 5754^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141783 + ... + 145310.

Almost surely, 2506432052 is an apocalyptic number.

It is an amenable number.

506432052 is an abundant number, since it is smaller than the sum of its proper divisors (982724526).

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

506432052 is a wasteful number, since it uses less digits than its factorization.

506432052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287117 (or 287105 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 506432052 is about 22504.0452363570. The cubic root of 506432052 is about 797.0894508043.

Adding to 506432052 its reverse (250234605), we get a palindrome (756666657).

The spelling of 506432052 in words is "five hundred six million, four hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 287093 574186 861279 1148372 1722558 2009651 2583837 3445116 4019302 5167674 6028953 8038604 10335348 12057906 14067557 18086859 24115812 28135114 36173718 42202671 56270228 72347436 84405342 126608013 168810684 253216026 506432052