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406129542 = 237213106261
BaseRepresentation
bin11000001101010…
…000101110000110
31001022012111222220
4120031100232012
51312432121132
6104144433210
713031021100
oct3015205606
91038174886
10406129542
11199282155
12b4018806
13661a9550
143bd1c570
15259c4a2c
hex18350b86

406129542 has 48 divisors (see below), whose sum is σ = 1017564912. Its totient is φ = 107110080.

The previous prime is 406129519. The next prime is 406129567. The reversal of 406129542 is 245921604.

It is a congruent number.

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, 49309 + ... + 56952.

It is an arithmetic number, because the mean of its divisors is an integer number (21199269).

Almost surely, 2406129542 is an apocalyptic number.

406129542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

406129542 is an abundant number, since it is smaller than the sum of its proper divisors (611435370).

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

406129542 is a wasteful number, since it uses less digits than its factorization.

406129542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106293 (or 106286 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 406129542 is about 20152.6559539928. The cubic root of 406129542 is about 740.5508085628.

The spelling of 406129542 in words is "four hundred six million, one hundred twenty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 106261 212522 318783 637566 743827 1381393 1487654 2231481 2762786 4144179 4462962 5206789 8288358 9669751 10413578 15620367 19339502 29009253 31240734 58018506 67688257 135376514 203064771 406129542