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5472674000 = 245317533037
BaseRepresentation
bin1010001100011001…
…00110000011010000
3112010101210122101122
411012030212003100
542202001032000
62303014221412
7252421650533
oct50614460320
915111718348
105472674000
1123591aaa82
121088954868
13692a66b51
1439cb82a1a
152206c3085
hex1463260d0

5472674000 has 160 divisors (see below), whose sum is σ = 14280398496. Its totient is φ = 2020761600.

The previous prime is 5472673979. The next prime is 5472674021. The reversal of 5472674000 is 4762745.

It is an interprime number because it is at equal distance from previous prime (5472673979) and next prime (5472674021).

It can be written as a sum of positive squares in 16 ways, for example, as 1467809344 + 4004864656 = 38312^2 + 63284^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800482 + ... + 1803518.

Almost surely, 25472674000 is an apocalyptic number.

5472674000 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 5472674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140199248).

5472674000 is an abundant number, since it is smaller than the sum of its proper divisors (8807724496).

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

5472674000 is a wasteful number, since it uses less digits than its factorization.

5472674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 5472674000 is about 73977.5236135950. The cubic root of 5472674000 is about 1762.2459704639.

The spelling of 5472674000 in words is "five billion, four hundred seventy-two million, six hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 53 68 80 85 100 106 125 136 170 200 212 250 265 272 340 400 424 425 500 530 680 848 850 901 1000 1060 1325 1360 1700 1802 2000 2120 2125 2650 3037 3400 3604 4240 4250 4505 5300 6074 6625 6800 7208 8500 9010 10600 12148 13250 14416 15185 17000 18020 21200 22525 24296 26500 30370 34000 36040 45050 48592 51629 53000 60740 72080 75925 90100 103258 106000 112625 121480 151850 160961 180200 206516 225250 242960 258145 303700 321922 360400 379625 413032 450500 516290 607400 643844 759250 804805 826064 901000 1032580 1214800 1287688 1290725 1518500 1609610 1802000 2065160 2575376 2581450 2736337 3037000 3219220 4024025 4130320 5162900 5472674 6074000 6438440 6453625 8048050 10325800 10945348 12876880 12907250 13681685 16096100 20120125 20651600 21890696 25814500 27363370 32192200 40240250 43781392 51629000 54726740 64384400 68408425 80480500 103258000 109453480 136816850 160961000 218906960 273633700 321922000 342042125 547267400 684084250 1094534800 1368168500 2736337000 5472674000