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41121792 = 211322397
BaseRepresentation
bin1001110011011…
…1100000000000
32212101012111100
42130313200000
541011344132
64025214400
71006346415
oct234674000
985335440
1041121792
1121237458
1211931400
13869a32a
14566610c
15392437c
hex2737800

41121792 has 144 divisors (see below), whose sum is σ = 125208720. Its totient is φ = 12976128.

The previous prime is 41121781. The next prime is 41121809. The reversal of 41121792 is 29712114.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423888 + ... + 423984.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 241121792 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 41121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62604360).

41121792 is an abundant number, since it is smaller than the sum of its proper divisors (84086928).

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

41121792 is a wasteful number, since it uses less digits than its factorization.

41121792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 41121792 is about 6412.6275425913. The cubic root of 41121792 is about 345.1628216954.

The spelling of 41121792 in words is "forty-one million, one hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 97 128 138 144 184 192 194 207 256 276 288 291 368 384 388 414 512 552 576 582 736 768 776 828 873 1024 1104 1152 1164 1472 1536 1552 1656 1746 2048 2208 2231 2304 2328 2944 3072 3104 3312 3492 4416 4462 4608 4656 5888 6144 6208 6624 6693 6984 8832 8924 9216 9312 11776 12416 13248 13386 13968 17664 17848 18432 18624 20079 23552 24832 26496 26772 27936 35328 35696 37248 40158 47104 49664 52992 53544 55872 70656 71392 74496 80316 99328 105984 107088 111744 141312 142784 148992 160632 198656 211968 214176 223488 285568 297984 321264 423936 428352 446976 571136 595968 642528 856704 893952 1142272 1285056 1713408 1787904 2284544 2570112 3426816 4569088 5140224 6853632 10280448 13707264 20560896 41121792