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492359040 = 2733528493
BaseRepresentation
bin11101010110001…
…100110110000000
31021022110102122000
4131112030312000
52002020442130
6120504544000
715125661045
oct3526146600
91238412560
10492359040
11232a186a8
12118a82000
137b00b214
14495671cc
152d359260
hex1d58cd80

492359040 has 128 divisors (see below), whose sum is σ = 1743832800. Its totient is φ = 131291136.

The previous prime is 492359017. The next prime is 492359041. The reversal of 492359040 is 40953294.

492359040 is a `hidden beast` number, since 4 + 9 + 23 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 492358986 and 492359004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492359041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034 + ... + 31526.

Almost surely, 2492359040 is an apocalyptic number.

492359040 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 492359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871916400).

492359040 is an abundant number, since it is smaller than the sum of its proper divisors (1251473760).

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

492359040 is a wasteful number, since it uses less digits than its factorization.

492359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28521 (or 28503 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 492359040 is about 22189.1649234486. The cubic root of 492359040 is about 789.6366646254.

The spelling of 492359040 in words is "four hundred ninety-two million, three hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 28493 56986 85479 113972 142465 170958 227944 256437 284930 341916 427395 455888 512874 569860 683832 769311 854790 911776 1025748 1139720 1282185 1367664 1538622 1709580 1823552 2051496 2279440 2564370 2735328 3077244 3419160 3647104 3846555 4102992 4558880 5128740 5470656 6154488 6838320 7693110 8205984 9117760 10257480 10941312 12308976 13676640 15386220 16411968 18235520 20514960 24617952 27353280 30772440 32823936 41029920 49235904 54706560 61544880 82059840 98471808 123089760 164119680 246179520 492359040