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414057552 = 24359914401
BaseRepresentation
bin11000101011100…
…000010001010000
31001212010022011220
4120223200101100
51321444320202
6105030405040
713155300606
oct3053402120
91055108156
10414057552
111a27a7627
12b6800780
1367a23c8c
143cdc3876
152653dabc
hex18ae0450

414057552 has 40 divisors (see below), whose sum is σ = 1071508800. Its totient is φ = 137779200.

The previous prime is 414057551. The next prime is 414057601. The reversal of 414057552 is 255750414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414057551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21552 + ... + 35952.

It is an arithmetic number, because the mean of its divisors is an integer number (26787720).

Almost surely, 2414057552 is an apocalyptic number.

It is an amenable number.

414057552 is an abundant number, since it is smaller than the sum of its proper divisors (657451248).

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

414057552 is a wasteful number, since it uses less digits than its factorization.

414057552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011 (or 15005 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 414057552 is about 20348.4041634719. The cubic root of 414057552 is about 745.3385257906.

The spelling of 414057552 in words is "four hundred fourteen million, fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 599 1198 1797 2396 3594 4792 7188 9584 14376 14401 28752 28802 43203 57604 86406 115208 172812 230416 345624 691248 8626199 17252398 25878597 34504796 51757194 69009592 103514388 138019184 207028776 414057552