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5426474800 = 245217859929
BaseRepresentation
bin1010000110111000…
…10110111100110000
3112000011212111000011
411003130112330300
542103134143200
62254244104304
7251321163145
oct50334267460
915004774004
105426474800
11233511591a
121075395094
1368630c746
143969983cc
1521b5e95ba
hex143716f30

5426474800 has 120 divisors (see below), whose sum is σ = 13834940400. Its totient is φ = 2038333440.

The previous prime is 5426474761. The next prime is 5426474819. The reversal of 5426474800 is 84746245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5840736 + ... + 5841664.

It is an arithmetic number, because the mean of its divisors is an integer number (115291170).

Almost surely, 25426474800 is an apocalyptic number.

5426474800 is a gapful number since it is divisible by the number (50) 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 5426474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917470200).

5426474800 is an abundant number, since it is smaller than the sum of its proper divisors (8408465600).

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

5426474800 is a wasteful number, since it uses less digits than its factorization.

5426474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 5426474800 is about 73664.6102277070. The cubic root of 5426474800 is about 1757.2731102119.

The spelling of 5426474800 in words is "five billion, four hundred twenty-six million, four hundred seventy-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 859 929 1360 1700 1718 1858 3400 3436 3716 4295 4645 6800 6872 7432 8590 9290 13744 14603 14864 15793 17180 18580 21475 23225 29206 31586 34360 37160 42950 46450 58412 63172 68720 73015 74320 78965 85900 92900 116824 126344 146030 157930 171800 185800 233648 252688 292060 315860 343600 365075 371600 394825 584120 631720 730150 789650 798011 1168240 1263440 1460300 1579300 1596022 2920600 3158600 3192044 3990055 5841200 6317200 6384088 7980110 12768176 13566187 15960220 19950275 27132374 31920440 39900550 54264748 63840880 67830935 79801100 108529496 135661870 159602200 217058992 271323740 319204400 339154675 542647480 678309350 1085294960 1356618700 2713237400 5426474800