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4742432280 = 2333541107101
BaseRepresentation
bin1000110101010101…
…11100011000011000
3110020111201112002000
410122222330120120
534203030313110
62102330441000
7225344003115
oct43252743030
913214645060
104742432280
112013a85623
12b04293160
135a7699761
1432dbb590c
151cb52a1c0
hex11aabc618

4742432280 has 128 divisors (see below), whose sum is σ = 16193822400. Its totient is φ = 1233792000.

The previous prime is 4742432269. The next prime is 4742432309. The reversal of 4742432280 is 822342474.

4742432280 is a `hidden beast` number, since 4 + 7 + 424 + 3 + 228 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9271 + ... + 97830.

Almost surely, 24742432280 is an apocalyptic number.

4742432280 is a gapful number since it is divisible by the number (40) 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 4742432280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096911200).

4742432280 is an abundant number, since it is smaller than the sum of its proper divisors (11451390120).

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

4742432280 is a wasteful number, since it uses less digits than its factorization.

4742432280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107162 (or 107152 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4742432280 is about 68865.3198642103. The cubic root of 4742432280 is about 1680.0945099893.

The spelling of 4742432280 in words is "four billion, seven hundred forty-two million, four hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 44280 107101 214202 321303 428404 535505 642606 856808 963909 1071010 1285212 1606515 1927818 2142020 2570424 2891727 3213030 3855636 4284040 4391141 4819545 5783454 6426060 7711272 8782282 9639090 11566908 12852120 13173423 14458635 17564564 19278180 21955705 23133816 26346846 28917270 35129128 38556360 39520269 43911410 52693692 57834540 65867115 79040538 87822820 105387384 115669080 118560807 131734230 158081076 175645640 197601345 237121614 263468460 316162152 395202690 474243228 526936920 592804035 790405380 948486456 1185608070 1580810760 2371216140 4742432280