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50406408 = 23331329619
BaseRepresentation
bin1100000001001…
…0010000001000
310111211220121000
43000102100020
5100401001113
65000215000
71151306313
oct300222010
9114756530
1050406408
11264a9098
1214a6a460
13a59b3a0
1469a197a
15465a373
hex3012408

50406408 has 128 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 14950656.

The previous prime is 50406407. The next prime is 50406431. The reversal of 50406408 is 80460405.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (50406401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81123 + ... + 81741.

It is an arithmetic number, because the mean of its divisors is an integer number (1220625).

Almost surely, 250406408 is an apocalyptic number.

50406408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50406408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

50406408 is an abundant number, since it is smaller than the sum of its proper divisors (105833592).

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

50406408 is a wasteful number, since it uses less digits than its factorization.

50406408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 50406408 is about 7099.7470377472. The cubic root of 50406408 is about 369.3986042274.

The spelling of 50406408 in words is "fifty million, four hundred six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 619 696 702 754 783 936 1044 1131 1238 1404 1508 1566 1857 2088 2262 2476 2808 3016 3132 3393 3714 4524 4952 5571 6264 6786 7428 8047 9048 10179 11142 13572 14856 16094 16713 17951 20358 22284 24141 27144 32188 33426 35902 40716 44568 48282 53853 64376 66852 71804 72423 81432 96564 107706 133704 143608 144846 161559 193128 215412 217269 233363 289692 323118 430824 434538 466726 484677 579384 646236 700089 869076 933452 969354 1292472 1400178 1738152 1866904 1938708 2100267 2800356 3877416 4200534 5600712 6300801 8401068 12601602 16802136 25203204 50406408