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5432674400 = 255229234167
BaseRepresentation
bin1010000111101000…
…00000100001100000
3112000121112110020222
411003310000201200
542111231040100
62255025022212
7251424653606
oct50364004140
915017473228
105432674400
11233866a75a
121077484968
136876a054a
1439772d876
1521be21485
hex143d00860

5432674400 has 72 divisors (see below), whose sum is σ = 13719903120. Its totient is φ = 2098127360.

The previous prime is 5432674397. The next prime is 5432674409. The reversal of 5432674400 is 44762345.

It is a super-2 number, since 2×54326744002 = 59027902272830720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432674409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93884 + ... + 140283.

It is an arithmetic number, because the mean of its divisors is an integer number (190554210).

Almost surely, 25432674400 is an apocalyptic number.

5432674400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5432674400 is an abundant number, since it is smaller than the sum of its proper divisors (8287228720).

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

5432674400 is a wasteful number, since it uses less digits than its factorization.

5432674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234216 (or 234203 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 5432674400 is about 73706.6781234916. The cubic root of 5432674400 is about 1757.9420677801.

The spelling of 5432674400 in words is "five billion, four hundred thirty-two million, six hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 234167 468334 936668 1170835 1873336 2341670 3746672 4683340 5854175 6790843 7493344 9366680 11708350 13581686 18733360 23416700 27163372 33954215 37466720 46833400 54326744 67908430 93666800 108653488 135816860 169771075 187333600 217306976 271633720 339542150 543267440 679084300 1086534880 1358168600 2716337200 5432674400