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41289264 = 243431859
BaseRepresentation
bin1001110110000…
…0011000110000
32212200201020000
42131200120300
541032224024
64032550000
71010644602
oct235403060
985621200
1041289264
1121341265
12119b2300
138728623
1456ab172
153958cc9
hex2760630

41289264 has 50 divisors (see below), whose sum is σ = 119506860. Its totient is φ = 13762656.

The previous prime is 41289239. The next prime is 41289317. The reversal of 41289264 is 46298214.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14634 + ... + 17225.

Almost surely, 241289264 is an apocalyptic number.

It is an amenable number.

41289264 is an abundant number, since it is smaller than the sum of its proper divisors (78217596).

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

41289264 is a wasteful number, since it uses less digits than its factorization.

41289264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31879 (or 31864 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41289264 is about 6425.6722605499. The cubic root of 41289264 is about 345.6307553648.

It can be divided in two parts, 412 and 89264, that added together give a triangular number (89676 = T423).

The spelling of 41289264 in words is "forty-one million, two hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 31859 63718 95577 127436 191154 254872 286731 382308 509744 573462 764616 860193 1146924 1529232 1720386 2293848 2580579 3440772 4587696 5161158 6881544 10322316 13763088 20644632 41289264