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211074048 = 2103237619
BaseRepresentation
bin11001001010010…
…11110000000000
3112201011200011100
430211023300000
5413013332143
632540014400
75142046143
oct1445136000
9481150140
10211074048
11a9167069
125a831400
13349639b3
142006605a
15137e56d3
hexc94bc00

211074048 has 132 divisors (see below), whose sum is σ = 626955160. Its totient is φ = 68345856.

The previous prime is 211074043. The next prime is 211074067. The reversal of 211074048 is 840470112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211074043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340683 + ... + 341301.

Almost surely, 2211074048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313477580).

211074048 is an abundant number, since it is smaller than the sum of its proper divisors (415881112).

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

211074048 is a wasteful number, since it uses less digits than its factorization.

211074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 211074048 is about 14528.3876600261. The cubic root of 211074048 is about 595.4038150416.

The spelling of 211074048 in words is "two hundred eleven million, seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 619 666 768 888 1024 1152 1184 1238 1332 1536 1776 1857 2304 2368 2476 2664 3072 3552 3714 4608 4736 4952 5328 5571 7104 7428 9216 9472 9904 10656 11142 14208 14856 18944 19808 21312 22284 22903 28416 29712 37888 39616 42624 44568 45806 56832 59424 68709 79232 85248 89136 91612 113664 118848 137418 158464 170496 178272 183224 206127 237696 274836 316928 340992 356544 366448 412254 475392 549672 633856 713088 732896 824508 950784 1099344 1426176 1465792 1649016 1901568 2198688 2852352 2931584 3298032 4397376 5704704 5863168 6596064 8794752 11726336 13192128 17589504 23452672 26384256 35179008 52768512 70358016 105537024 211074048