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250620384 = 25371492503
BaseRepresentation
bin11101111000000…
…10100111100000
3122110120211112110
432330002213200
51003124323014
640511355320
76132144450
oct1674024740
9573524473
10250620384
11119517893
126bb22b40
133cbcbbb1
14253dbd60
1517007d59
hexef029e0

250620384 has 96 divisors (see below), whose sum is σ = 757209600. Its totient is φ = 71096832.

The previous prime is 250620373. The next prime is 250620389. The reversal of 250620384 is 483026052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250620389) 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, 98877 + ... + 101379.

It is an arithmetic number, because the mean of its divisors is an integer number (7887600).

Almost surely, 2250620384 is an apocalyptic number.

250620384 is a gapful number since it is divisible by the number (24) 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 250620384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378604800).

250620384 is an abundant number, since it is smaller than the sum of its proper divisors (506589216).

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

250620384 is a wasteful number, since it uses less digits than its factorization.

250620384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 250620384 is about 15830.9944097015. The cubic root of 250620384 is about 630.4811844133.

The spelling of 250620384 in words is "two hundred fifty million, six hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 149 168 224 298 336 447 596 672 894 1043 1192 1788 2086 2384 2503 3129 3576 4172 4768 5006 6258 7152 7509 8344 10012 12516 14304 15018 16688 17521 20024 25032 30036 33376 35042 40048 50064 52563 60072 70084 80096 100128 105126 120144 140168 210252 240288 280336 372947 420504 560672 745894 841008 1118841 1491788 1682016 2237682 2610629 2983576 4475364 5221258 5967152 7831887 8950728 10442516 11934304 15663774 17901456 20885032 31327548 35802912 41770064 62655096 83540128 125310192 250620384