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5210406324 = 223416081501
BaseRepresentation
bin1001101101001000…
…00111110110110100
3111110010022001210000
410312210013312310
541132331000244
62221005031300
7243055502664
oct46644076664
914403261700
105210406324
112234158432
121014b55530
1365061a686
14375dd21a4
15207669169
hex136907db4

5210406324 has 30 divisors (see below), whose sum is σ = 13621032194. Its totient is φ = 1736802000.

The previous prime is 5210406301. The next prime is 5210406349. The reversal of 5210406324 is 4236040125.

5210406324 is a `hidden beast` number, since 5 + 21 + 0 + 4 + 0 + 632 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4852515600 + 357890724 = 69660^2 + 18918^2 .

It is a super-2 number, since 2×52104063242 = 54296668122358385952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8040427 + ... + 8041074.

Almost surely, 25210406324 is an apocalyptic number.

5210406324 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5210406324 is an abundant number, since it is smaller than the sum of its proper divisors (8410625870).

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

5210406324 is a wasteful number, since it uses less digits than its factorization.

5210406324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16081517 (or 16081506 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5210406324 is about 72183.1443205407. The cubic root of 5210406324 is about 1733.6331284045.

Adding to 5210406324 its reverse (4236040125), we get a palindrome (9446446449).

The spelling of 5210406324 in words is "five billion, two hundred ten million, four hundred six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 16081501 32163002 48244503 64326004 96489006 144733509 192978012 289467018 434200527 578934036 868401054 1302601581 1736802108 2605203162 5210406324