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9028373040 = 2432531404497
BaseRepresentation
bin10000110100010001…
…00000101000110000
3212022012110212111200
420122020200220300
5121442230414130
64051513211200
7436505622201
oct103210405060
925265425450
109028373040
113913310325
1218bb700b00
13b0b60588b
146190bd5a8
1537c933760
hex21a220a30

9028373040 has 120 divisors (see below), whose sum is σ = 31298437248. Its totient is φ = 2329896960.

The previous prime is 9028373027. The next prime is 9028373069. The reversal of 9028373040 is 403738209.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 9028372986 and 9028373004.

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, 179929 + ... + 224568.

Almost surely, 29028373040 is an apocalyptic number.

9028373040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9028373040 is an abundant number, since it is smaller than the sum of its proper divisors (22270064208).

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

9028373040 is a wasteful number, since it uses less digits than its factorization.

9028373040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404547 (or 404538 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9028373040 is about 95017.7511836604. The cubic root of 9028373040 is about 2082.2673930641.

The spelling of 9028373040 in words is "nine billion, twenty-eight million, three hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 404497 808994 1213491 1617988 2022485 2426982 3235976 3640473 4044970 4853964 6067455 6471952 7280946 8089940 9707928 12134910 12539407 14561892 16179880 18202365 19415856 24269820 25078814 29123784 32359760 36404730 37618221 48539640 50157628 58247568 62697035 72809460 75236442 97079280 100315256 112854663 125394070 145618920 150472884 188091105 200630512 225709326 250788140 291237840 300945768 376182210 451418652 501576280 564273315 601891536 752364420 902837304 1003152560 1128546630 1504728840 1805674608 2257093260 3009457680 4514186520 9028373040