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4538233040 = 2451123224221
BaseRepresentation
bin1000011100111111…
…11111000011010000
3102201021111010101012
410032133333003100
533243241424130
62030154030052
7220314226055
oct41637770320
912637433335
104538233040
111a19794720
12a67a18328
135742a1cc3
14310a1d02c
151b8641995
hex10e7ff0d0

4538233040 has 80 divisors (see below), whose sum is σ = 12011124096. Its totient is φ = 1578508800.

The previous prime is 4538233013. The next prime is 4538233069. The reversal of 4538233040 is 403328354.

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

It is a junction number, because it is equal to n+sod(n) for n = 4538232988 and 4538233006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91871 + ... + 132350.

Almost surely, 24538233040 is an apocalyptic number.

4538233040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4538233040 is an abundant number, since it is smaller than the sum of its proper divisors (7472891056).

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

4538233040 is a wasteful number, since it uses less digits than its factorization.

4538233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224268 (or 224262 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 4538233040 is about 67366.4088400146. The cubic root of 4538233040 is about 1655.6261009499.

The spelling of 4538233040 in words is "four billion, five hundred thirty-eight million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 224221 448442 896884 1121105 1793768 2242210 2466431 3587536 4484420 4932862 5157083 8968840 9865724 10314166 12332155 17937680 19731448 20628332 24664310 25785415 39462896 41256664 49328620 51570830 56727913 82513328 98657240 103141660 113455826 197314480 206283320 226911652 283639565 412566640 453823304 567279130 907646608 1134558260 2269116520 4538233040