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30495456 = 2532195573
BaseRepresentation
bin111010001010…
…1001011100000
32010101022220100
41310111023200
530301323311
63005342400
7520131015
oct164251340
963338810
1030495456
1116239762
12a267a00
136419664
14409b70c
152a25a56
hex1d152e0

30495456 has 72 divisors (see below), whose sum is σ = 91302120. Its totient is φ = 9628416.

The previous prime is 30495427. The next prime is 30495457. The reversal of 30495456 is 65459403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30495456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30495457) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2686 + ... + 8258.

It is an arithmetic number, because the mean of its divisors is an integer number (1268085).

Almost surely, 230495456 is an apocalyptic number.

30495456 is a gapful number since it is divisible by the number (36) 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 30495456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45651060).

30495456 is an abundant number, since it is smaller than the sum of its proper divisors (60806664).

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

30495456 is a wasteful number, since it uses less digits than its factorization.

30495456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 30495456 is about 5522.2690988397. The cubic root of 30495456 is about 312.4244715603.

The spelling of 30495456 in words is "thirty million, four hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 5573 11146 16719 22292 33438 44584 50157 66876 89168 100314 105887 133752 178336 200628 211774 267504 317661 401256 423548 535008 635322 802512 847096 952983 1270644 1605024 1694192 1905966 2541288 3388384 3811932 5082576 7623864 10165152 15247728 30495456