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4362492640 = 2551115311619
BaseRepresentation
bin1000001000000011…
…00101101011100000
3102021000210120212111
410010001211223200
532413244231030
62000515205104
7213051401302
oct40401455340
912230716774
104362492640
111939571320
12a18ba6794
13546a5cbbc
142d5553972
151a7eca62a
hex104065ae0

4362492640 has 96 divisors (see below), whose sum is σ = 11257626240. Its totient is φ = 1584345600.

The previous prime is 4362492623. The next prime is 4362492661. The reversal of 4362492640 is 462942634.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4362492593 and 4362492602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2693751 + ... + 2695369.

It is an arithmetic number, because the mean of its divisors is an integer number (117266940).

Almost surely, 24362492640 is an apocalyptic number.

4362492640 is a gapful number since it is divisible by the number (40) 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 4362492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628813120).

4362492640 is an abundant number, since it is smaller than the sum of its proper divisors (6895133600).

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

4362492640 is a wasteful number, since it uses less digits than its factorization.

4362492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 4362492640 is about 66049.1683520694. The cubic root of 4362492640 is about 1633.9730997381.

The spelling of 4362492640 in words is "four billion, three hundred sixty-two million, four hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1531 1619 1760 3062 3238 6124 6476 7655 8095 12248 12952 15310 16190 16841 17809 24496 25904 30620 32380 33682 35618 48992 51808 61240 64760 67364 71236 84205 89045 122480 129520 134728 142472 168410 178090 244960 259040 269456 284944 336820 356180 538912 569888 673640 712360 1347280 1424720 2478689 2694560 2849440 4957378 9914756 12393445 19829512 24786890 27265579 39659024 49573780 54531158 79318048 99147560 109062316 136327895 198295120 218124632 272655790 396590240 436249264 545311580 872498528 1090623160 2181246320 4362492640