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507008412 = 223223279337
BaseRepresentation
bin11110001110000…
…101010110011100
31022100000200210100
4132032011112130
52014243232122
6122150541100
715364333431
oct3616052634
91270020710
10507008412
11240213a19
12121967790
138106a0a1
144b49bb88
152e79eaac
hex1e38559c

507008412 has 108 divisors (see below), whose sum is σ = 1360733920. Its totient is φ = 159134976.

The previous prime is 507008401. The next prime is 507008413. The reversal of 507008412 is 214800705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507008413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1504308 + ... + 1504644.

Almost surely, 2507008412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507008412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680366960).

507008412 is an abundant number, since it is smaller than the sum of its proper divisors (853725508).

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

507008412 is a wasteful number, since it uses less digits than its factorization.

507008412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 507008412 is about 22516.8472926385. The cubic root of 507008412 is about 797.3917199190.

The spelling of 507008412 in words is "five hundred seven million, eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 79 92 138 158 207 237 276 316 337 414 474 529 674 711 828 948 1011 1058 1348 1422 1587 1817 2022 2116 2844 3033 3174 3634 4044 4761 5451 6066 6348 7268 7751 9522 10902 12132 15502 16353 19044 21804 23253 26623 31004 32706 41791 46506 53246 65412 69759 79869 83582 93012 106492 125373 139518 159738 167164 178273 239607 250746 279036 319476 356546 376119 479214 501492 534819 612329 713092 752238 958428 1069638 1224658 1504476 1604457 1836987 2139276 2449316 3208914 3673974 5510961 6417828 7347948 11021922 14083567 22043844 28167134 42250701 56334268 84501402 126752103 169002804 253504206 507008412