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514417472 = 26312511033
BaseRepresentation
bin11110101010010…
…110001101000000
31022211222010002222
4132222112031000
52023142324342
6123013430212
715514322252
oct3652261500
91284863088
10514417472
11244414508
1212433b368
138276254a
144c469cd2
1530264ed2
hex1ea96340

514417472 has 56 divisors (see below), whose sum is σ = 1058948352. Its totient is φ = 247680000.

The previous prime is 514417469. The next prime is 514417487. The reversal of 514417472 is 274714415.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 497468 + ... + 498500.

It is an arithmetic number, because the mean of its divisors is an integer number (18909792).

Almost surely, 2514417472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529474176).

514417472 is an abundant number, since it is smaller than the sum of its proper divisors (544530880).

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

514417472 is a wasteful number, since it uses less digits than its factorization.

514417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1317 counting only the distinct ones).

The product of its digits is 31360, while the sum is 35.

The square root of 514417472 is about 22680.7731790607. The cubic root of 514417472 is about 801.2571235158.

The spelling of 514417472 in words is "five hundred fourteen million, four hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 251 496 502 992 1004 1033 1984 2008 2066 4016 4132 7781 8032 8264 15562 16064 16528 31124 32023 33056 62248 64046 66112 124496 128092 248992 256184 259283 497984 512368 518566 1024736 1037132 2049472 2074264 4148528 8037773 8297056 16075546 16594112 32151092 64302184 128604368 257208736 514417472