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28474000 = 245323619
BaseRepresentation
bin110110010011…
…1101010010000
31222120121222121
41230213222100
524242132000
62454144024
7464011402
oct154475220
958517877
1028474000
1115088a35
129652014
135b8c529
143ad2b72
152776b1a
hex1b27a90

28474000 has 80 divisors (see below), whose sum is σ = 71959680. Its totient is φ = 10876800.

The previous prime is 28473959. The next prime is 28474003. The reversal of 28474000 is 47482.

It is a tau number, because it is divible by the number of its divisors (80).

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 (28474003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45691 + ... + 46309.

It is an arithmetic number, because the mean of its divisors is an integer number (899496).

Almost surely, 228474000 is an apocalyptic number.

28474000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35979840).

28474000 is an abundant number, since it is smaller than the sum of its proper divisors (43485680).

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

28474000 is a wasteful number, since it uses less digits than its factorization.

28474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 28474000 is about 5336.1034472731. The cubic root of 28474000 is about 305.3628218290.

The spelling of 28474000 in words is "twenty-eight million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 619 920 1000 1150 1238 1840 2000 2300 2476 2875 3095 4600 4952 5750 6190 9200 9904 11500 12380 14237 15475 23000 24760 28474 30950 46000 49520 56948 61900 71185 77375 113896 123800 142370 154750 227792 247600 284740 309500 355925 569480 619000 711850 1138960 1238000 1423700 1779625 2847400 3559250 5694800 7118500 14237000 28474000