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554142400 = 2652749477
BaseRepresentation
bin100001000001111…
…000101011000000
31102121201100110121
4201001320223000
52113330024100
6130553110024
716506063340
oct4101705300
91377640417
10554142400
11264887429
121356b8314
138aa60b16
145384ad20
15339b051a
hex21078ac0

554142400 has 84 divisors (see below), whose sum is σ = 1558359088. Its totient is φ = 189987840.

The previous prime is 554142371. The next prime is 554142409. The reversal of 554142400 is 4241455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (554142409) 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, 13539 + ... + 35938.

Almost surely, 2554142400 is an apocalyptic number.

554142400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

554142400 is an abundant number, since it is smaller than the sum of its proper divisors (1004216688).

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

554142400 is a wasteful number, since it uses less digits than its factorization.

554142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49506 (or 49491 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 554142400 is about 23540.2293956537. The cubic root of 554142400 is about 821.3730713425.

Adding to 554142400 its reverse (4241455), we get a palindrome (558383855).

The spelling of 554142400 in words is "five hundred fifty-four million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 49477 98954 197908 247385 346339 395816 494770 692678 791632 989540 1236925 1385356 1583264 1731695 1979080 2473850 2770712 3166528 3463390 3958160 4947700 5541424 6926780 7916320 8658475 9895400 11082848 13853560 15832640 17316950 19790800 22165696 27707120 34633900 39581600 55414240 69267800 79163200 110828480 138535600 277071200 554142400