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250053984 = 25321945697
BaseRepresentation
bin11101110011110…
…00010101100000
3122102112001120200
432321320111200
51003003211414
640451305200
76124265235
oct1671702540
9572461520
10250053984
11119170294
126b8ab200
133ca6114b
14252d178c
1516e45109
hexee78560

250053984 has 72 divisors (see below), whose sum is σ = 748533240. Its totient is φ = 78962688.

The previous prime is 250053949. The next prime is 250053997. The reversal of 250053984 is 489350052.

250053984 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17377 + ... + 28320.

It is an arithmetic number, because the mean of its divisors is an integer number (10396295).

Almost surely, 2250053984 is an apocalyptic number.

250053984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

250053984 is an abundant number, since it is smaller than the sum of its proper divisors (498479256).

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

250053984 is a wasteful number, since it uses less digits than its factorization.

250053984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45732 (or 45721 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 250053984 is about 15813.0953326665. The cubic root of 250053984 is about 630.0058654027.

The spelling of 250053984 in words is "two hundred fifty million, fifty-three thousand, nine hundred eighty-four".

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 45697 91394 137091 182788 274182 365576 411273 548364 731152 822546 868243 1096728 1462304 1645092 1736486 2193456 2604729 3290184 3472972 4386912 5209458 6580368 6945944 7814187 10418916 13160736 13891888 15628374 20837832 27783776 31256748 41675664 62513496 83351328 125026992 250053984